Express in simplest radical form 3√175+8√112

Answer 1

To express in simplest radical form, we need to simplify the square roots of 175 and 112 first.

√175 = √(25 * 7) = √25 * √7 = 5√7
√112 = √(16 * 7) = √16 * √7 = 4√7

Now, substituting these into the given expression:

3√175 + 8√112 = 3(5√7) + 8(4√7) = 15√7 + 32√7 = 47√7

Therefore, 3√175 + 8√112 in simplest radical form is 47√7.