Question

What is the exact value of the expression the square root 72. − the square root of 8. + the square root of 128.? Simplify if possible.

Answer 1

Remember, the exact value cannot involve any rounding or estimates. Now, let's solve this problem. First, we have to translate it into an expression:

√72 - √8 + √128               separate the terms into square roots

√36·2 - √4·2 + √64·2        square root the terms that you can

6√2 - 2√2 + 8√2               they have like radical terms, so combine the terms

6 - 2 + 8 = 12                   the coefficients are 12 when combined

12√2                                 this is the EXACT VALUE of the expression

Hope this helps!