Brian McLogan
How to Multiply a Binomial Squared with a Radical
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply the sum/difference of two or more radicals, we make use of the distributive property to expand the product and then simplify the...
Brian McLogan
Simplifying a radical expression by using prime factorization of the number
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Brian McLogan
Simplify radicals simplify the 5th root of a rational radicand
👉 Learn how to find the 5th root of rational numbers. To find the 5th root of a rational number, we first express the rational number as the 5th root of the numerator divided by the 5th root of the denominator and simplify. Where the...
Brian McLogan
Simplify a fraction under a square root - Legal cheating for math
👉 Learn how to divide radical expressions. In this playlist we will explore dividing radical expressions and then simplifying. We will explore the square root, cube root as well as the fourth root of numbers and algebraic expressions.
Brian McLogan
Rationalizing the denominator with a radical binomial
👉 Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and...
Brian McLogan
Pre-Calculus - Evaluating a Natural Logarithm when Given a Root
👉 Learn how to evaluate natural logarithms. Recall that the logarithm of a number says a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a)....
Brian McLogan
Using prime factorization to simplify the cube root of an expression
👉 Learn how to find the 3rd root of an expression. To find the 3rd root of an expression, if the exponent of the expression is a multiple of 3, then the 3rd root of the expression is the base of the expression with an exponent that is...
Brian McLogan
Learn how to divide two radical expressions without rationalizing the denominator
👉 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 solve an equation with fraction powers in your exponent
👉 Learn how to deal with Rational Powers or Exponents. Exponents are shorthand for repeated multiplication of the same thing by itself. This process of using exponents is called "raising to a power", where the exponent is the "power"....
Brian McLogan
Learn how to use the division property of radical expression to simplify
👉 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
Learn how to multiply two exponents with fraction 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
Learn how to simplify an exponent with a negative fraction as the power
👉 Learn how to convert a rational power to a radical. When the exponent of an expression is a fraction, we can evaluate/simplify the expression by converting the rational power into a radical where the denominator of the fractional...
Brian McLogan
Math Tutorial for Solving a Radical Equation Using Inverse Operations Root
👉 Learn how to solve radical (square root) equations having one radical term. To solve a radical (square root) equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of...
Brian McLogan
Learn How to Multiply Two Radical Binomials
👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply the sum/difference of two or more radicals, we make use of the distributive property to expand the product and then simplify the...
Brian McLogan
How to write a term with a rational exponent in radical form
👉 Learn how to convert a rational power to a radical. When the exponent of an expression is a fraction, we can evaluate/simplify the expression by converting the rational power into a radical where the denominator of the fractional...
Brian McLogan
Master Simplifying the square root of a number
Master Simplifying the square root of a number
Brian McLogan
Learn how to rationalize the denominator of an expression with a radical on denominator
👉 Lean how to divide rational expressions with a radical in the denominator. To divide rational expressions with a radical in the denominator, we rationalize the denominator by multiplying both the numerator and denominator by the...
Brian McLogan
Simplifying the quotient of the cube root of two expressions by rationalizing the denomi
👉 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
Evaluate the half angle of sine from 22 5 degrees
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
How to divide the cube root of a rational expression by rationalizing the denominator
👉 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 simplify an expression using the quotient rule of radicals, fourth root
👉 Learn how to find the 4th root of rational expressions. To find the 4th root of a rational expression, we first express the rational expression as the 4th root of the numerator divided by the 4th root of the denominator. Next we...
Brian McLogan
How to rewrite the 4th root of a variable with a rational exponent
👉 Learn how to convert a radical to rational power. 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...
Brian McLogan
Dividing two radical expressions together by dividing them first
👉 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
Divide two radical expressions first and then simplify them
👉 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...