Algebra II : Radicals
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #11 : Radicals
Simplify:
Rewrite the radical using common factors.
Recall that 
Simplify the roots.
The answer is:
Example Question #11 : Radicals
Evaluate:
Evaluate each square root. The square root of the number is equal to a number multiplied by itself.
The answer is:
Example Question #12 : Understanding Radicals
Simplify the radicals:
Simplify each radical. A number inside the radical means that we are looking for a number times itself that will equal to that value inside the radical.
For a fourth root term, we are looking for a number that multiplies itself four times to get the number inside the radical.
Replace the values and determine the sum.
The answer is:
Example Question #14 : Understanding Radicals
Simplify the radicals:
Do not multiply the terms inside the radical. Instead, the terms inside the radical can be simplified term by term.
Simplify each square root.
The answer is:
Example Question #15 : Understanding Radicals
Solve:
Solve by evaluating the square roots first.
Substitute the terms back into the expression.
The answer is:
Example Question #16 : Understanding Radicals
Solve the square roots:
Evaluate each radical. The square root of a certain number will output a number that will equal the term inside the radical when it's squared.
Replace all the terms.
The answer is:
Example Question #17 : Understanding Radicals
Evaluate:
This expression is imaginary. To simplify, we will need to factor out the imaginary term 
Simplify the terms.
The answer is:
Example Question #12 : Radicals
Solve:
Evaluate each square root. The square root identifies a number that multiplies by itself to equal the number inside the square root.
Determine the sum.
The answer is:
Example Question #19 : Understanding Radicals
Evaluate, if possible:
The negative numbers inside the radical indicates that we will have imaginary terms.
Recall that 
Rewrite the radicals using 
Replace the terms and evaluate the square roots.
The answer is:
Example Question #20 : Understanding Radicals
Simplify:
Evaluate by solving each square root first. The square root of a number is a number that multiplies by itself to achieve the number inside the square root.
Rewrite the expression.
The answer is:
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