Algebra II : Adding and Subtracting Radicals
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #41 : Adding And Subtracting Radicals
To add or subtract radicals, they must be the same root and have the same number under the radical before combining them. Look for perfect squares that divide into the number under the radicals because those can be simplified.
Take the square roots of each of the perfect squares in these radicals and bring it out of the radical. It will multiply to any coefficient in front of that radical
Example Question #42 : Adding And Subtracting Radicals
To add or subtract radicals, they must be the same root and have the same number under the radical before combining them. Look for perfect squares that divide into the number under the radicals because those can be simplified.
Take the square roots of each of the perfect squares in these radicals and bring it out of the radical. It will multiply to any coefficient in front of that radical
Example Question #43 : Adding And Subtracting Radicals
To add or subtract radicals, they must be the same root and have the same number under the radical before combining them. Look for perfect squares that divide into the number under the radicals because those can be simplified.
Take the square roots of each of the perfect squares in these radicals and bring it out of the radical. It will multiply to any coefficient in front of that radical
Example Question #44 : Adding And Subtracting Radicals
Add the following radicals, if possible:
Rewrite 
Rewrite the expression.
Combine like-terms.
The answer is:
Example Question #45 : Adding And Subtracting Radicals
Add the radicals:
Simplify the square roots by writing them as a common factor of perfect squares.
Simplify the perfect squares.
Combine like-terms.
The answer is:
Example Question #46 : Adding And Subtracting Radicals
To add or subtract radicals, they must be the same root and have the same number under the radical before combining them. Look for perfect squares that divide into the number under the radicals because those can be simplified.
Take the square roots of each of the perfect squares in these radicals and bring it out of the radical. It will multiply to any coefficient in front of that radical
Example Question #47 : Adding And Subtracting Radicals
To add or subtract radicals, they must be the same root and have the same number under the radical before combining them. Look for perfect squares that divide into the number under the radicals because those can be simplified.
Take the square roots of each of the perfect squares in these radicals and bring it out of the radical. It will multiply to any coefficient in front of that radical
Remember, only radicals with the same number can be combined
This is the final answer.
Example Question #48 : Adding And Subtracting Radicals
To add or subtract radicals, they must be the same root and have the same number under the radical before combining them. Look for perfect squares that divide into the number under the radicals because those can be simplified.
Take the square roots of each of the perfect squares in these radicals and bring it out of the radical. It will multiply to any coefficient in front of that radical
Example Question #49 : Adding And Subtracting Radicals
Add the radicals, if possible:
Use common factors to simplify both radicals.
Simplify the square roots.
The answer is:
Example Question #50 : Adding And Subtracting Radicals
Subtract the radicals if possible:
Evaluate each term. Write out the factors for each radical and simplify.
Add all the simplified radicals. Combine like terms.
The answer is:
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