Algebra II : Algebra II
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #1486 : Mathematical Relationships And Basic Graphs
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 #1487 : Mathematical Relationships And Basic Graphs
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 #251 : 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 #1491 : Mathematical Relationships And Basic Graphs
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:
Example Question #1492 : Mathematical Relationships And Basic Graphs
Multiply the radicals:
Multiply the numbers in the radicals to combine as one radical.
This value can be simplified as a perfect square.
The answer is:
Example Question #62 : Multiplying And Dividing Radicals
Multiply the radicals:
In order to multiply these radicals, we are allowed to multiply all three integers to one radical, but the final term will need to be simplified.
Instead, we can pull out common factors in order to simplify the terms.
Rewrite the expression.
A radical multiplied by itself will give just the integer.
The answer is:
Example Question #161 : Simplifying Radicals
Divide the radicals:
Rationalize the denominator by multiplying the square root of 60 on the numerator and denominator.
Simplify the top and bottom of the fractions.
The radical can be simplified by using common factors of perfect squares.
Rewrite the term.
The answer is:
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