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Using Iterative Formulae to Approximate Equations
This video is a tutorial on using iterative formulae to find approximate solutions to difficult equations. The speaker explains the concept of numerical methods and the use of trial and improvement in solving equations. They then...
Curated Video
Negative and Fractional Powers Explained
In this video, the instructor provides a lecture on negative and fractional powers, explaining how negative powers can be written as fractions and how fractional powers involve roots. The instructor demonstrates how to use the laws of...
Brian McLogan
Learn how to condense a logarithmic expression with multiple logs
👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Simplify a rational expression using rules of exponents
👉 Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual...
Brian McLogan
Operations with functions and finding the domain of each
👉 Learn how to apply operations to functions such as adding, subtracting, multiplying, and dividing to two functions. To add/subtract/multiply or divide two functions, we algebraically add/subtract/multiply or add the rules (contents) of...
Brian McLogan
How to multiply two exponents with fractional powers
👉 Learn how to multiply with rational powers. To multiply two or more numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and...
Brian McLogan
How to Simplify the Cube Root of a Large Number, Cube Root(128)
👉 Learn how to find the cube root of a number. To find the cube root of a number, we identify whether that number which we want to find its cube root is a perfect cube. This is done by identifying a number which when raised to the 3rd...
Brian McLogan
Find the product of the cube root of two variable expressions
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Simplifying the Square Root of a Number by Factorization, Sqrt(45)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra Basics - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow...
Brian McLogan
Adding and subtracting the cube root of three radical expressions
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Brian McLogan
Find the particular solution differential equations
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Brian McLogan
The Quick and Easy Way to Simplify the Square Root of a Number, Sqrt(84)
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Simplifying the root of a variable expression using the product power, root(a^8 b^18)
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Multiplying Two Radical Expression Together by Simplifying First
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the...
Brian McLogan
Learn how to divide two radical expressions together with variables and numbers
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
How to find the particular solution of a differential equation
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Brian McLogan
What are the rules of radicals for multiplying dividing and the sum
👉 Learn the basics of multiplying radicals. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Learning to multiply two radicals together and then simplify
👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the...
Brian McLogan
Learn How to Simplify the Radical of a Number in Multiple Different Ways
👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Learn how to simplify a radical expression using the power rule
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we...
Brian McLogan
Using the sum of two cubes with a fraction
👉 Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an...
Brian McLogan
Solving logarithmic equations
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of...
Brian McLogan
Expanding logarithmic expressions
👉 Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...