SOLUTION: Simplify and combine like radicals
√ 12 - √ 75
Algebra.Com
Question 112386: Simplify and combine like radicals
√ 12 - √ 75
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given:
.
.
Factor each of the terms under the radical signs to get:
.
.
Recognize that the square root of a product of terms is equal to the product of the square
roots of each of the terms. Applying this rule results in:
.
.
But and . Make these substitutions and you get:
.
.
Factoring from each of the terms on the right side gives:
.
.
The terms 2 and -5 inside the parentheses combine to -3 and when this is substituted
for the parentheses the problem finally reduces to:
.
.
So the answer to this problem is
.
Hope this helps you to understand the problem and how to proceed to solve it.
.
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