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Brian McLogan
Simplifying fraction being raised to a rational power, fraction raised to a fraction
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Simplifying a radical expression by using the division property of radicals
👉 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
Simplifying Two Radical Expression First and Then Finding the Product
👉 Learn how to multiply radicals. A radical is a number or an expression 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
Tutorial Using prime factorization to take cube root of a simple variable expression, cube root(x^5)
👉 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
Taking Square of Both Sides to Solve a Radical Equation and Check Your Solutions
👉 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
Determine the Zeros for a Polynomial by Factoring
👉 Learn how to find all the zeros of a polynomial. 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. The zeros of a polynomial are the values...
Brian McLogan
Learn How to Multiply Two Radical Expressions by Simplifying Them First
👉 Learn how to multiply radicals. A radical is a number or an expression 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
How to use product rule to take 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 find quotient of two radical expression
👉 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 divide two radical expressions by simplifying 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
Learn how to subtract two radical expressions with different radicands
👉 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
Learn how to rewrite a rational power as a radical expression
Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational power, then we raise the result to a...
Brian McLogan
Learning How to Solve a Radical Equation with the Cube Root
👉 Learn how to solve radical equations having one radical term. To solve a radical equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of the radical by taking on...
Brian McLogan
Learn how to solve an equation with fraction powers by raising each side by the reciprocal
👉 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"....
Curated Video
Exploring Rational Exponents and Nth Roots
This lesson will provide instruction to find nth roots and evaluate expressions with rational exponents. I will deomonstrate and explain how to rewrite fractional exponents in radical from as well as how to rewrite radical form to...
Brian McLogan
Learn how to evaluate an expression with the radical of a perfect square ex 2, 5root(36)
👉 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
Tutorial - How To Evaluate a Logarithm To The Third Root of a Number
👉 Learn how to evaluate logarithms with radicals. 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 =...
Brian McLogan
Solving a radical equation using rational powers with two solutions
👉 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
Solving Radical Equations with the Cube Root, the Easy Way
👉 Learn how to solve radical equations having one radical term. To solve a radical equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of the radical by taking on...
Brian McLogan
Math tutorial for adding two radical expressions of third root
👉 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
Learn how to divide two radical expressions of the third root
👉 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 apply the power rule with fractional powers
👉 Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an...
Brian McLogan
Master Simplifying the higher root of a number
Master Simplifying the higher root of a number