Algebra II : Multiplying and Dividing Radicals
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #51 : Multiplying And Dividing Radicals
Simplify:
When multiplying radicals, simply multiply the numbers inside the radical with each other. Therefore:
We can simplify this by factoring and finding perfect perfect squares.
Example Question #52 : Multiplying And Dividing Radicals
Simplify:
When we multiply expressions containing both radicals and whole numbers, we simply multiply the numbers inside the radical with each other and those outside the radical with each other.
We can simplify this by factoring and finding perfect perfect squares.
Example Question #51 : Multiplying And Dividing Radicals
Simplify:
When dividing radicals, we simply divide the numbers inside the radical. Therefore:
The number inside the radical is a prime number and cannot be simplified any further.
Example Question #54 : Multiplying And Dividing Radicals
Simplify:
When dividing radicals, we simply divide the numbers inside the radical. Therefore:
We can simplify this by factoring and finding perfect perfect squares.
Example Question #55 : Multiplying And Dividing Radicals
Simplify:
When dividing radicals, we simply divide the numbers inside the radical. Because we are looking for the square root of each number we can place a single radical over the two numbers and solve.
The number inside the radical is a prime number and cannot be simplified any further.
Example Question #56 : Multiplying And Dividing Radicals
Simplify 
It cannot be simplified any further.
The Quotient Raised to a Power rule states that 
Remember that a square root is the equivalent of raising a term to the 1/2 power.
In this case:
Example Question #251 : Radicals
Simplify
The expression is in simplest form
Two radicals in the numerator cancel with two of the radicals in the denominator leaving
Example Question #162 : Simplifying Radicals
To multiply and simplify this expression, multiply and put everything under a big radical:
Remember that when multiplying exponents and bases are the same, add exponents. Now simplify that radical. For every pair of the same term, cross it out underneath the radical and put one outside the radical.
Therefore, your answer is:
Example Question #163 : Simplifying Radicals
Evaluate:
Multiply the numerator with the numerator.
Multiply the denominator with the denominator.
Divide the numerator with the denominator.
Rationalize the denominator. Multiply by square root thirty on the numerator and denominator.
Rewrite the numerator by common factors of a perfect square.
Reduce this fraction.
The answer is:
Example Question #164 : Simplifying Radicals
Multiply:
It is possible to multiply all the integers together to form one radical, but doing so will give a square root of a value that will need to be factored.
Instead, rewrite each square root by their factors.
A radical multiplied by itself will become the integer. Simplify the expression.
The answer is:
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