Question

What is the following sum in simplest form?

√√8+3√√2+√32
O 3√√8+3√2
O
5√42
9√√2
05√√2+√32

Answer 1

To simplify the given sum, simplify each term by simplifying the square roots and then combine like terms.

Step-by-step explanation:

To simplify the given sum, we need to simplify each term. Let's start by simplifying the square roots:

√√8 = √(√4 x 2) = √2√2√2 = 2√2

√√2 = √(√1 x 2) = √2

Then, simplifying the sum:

√√8 + 3√√2 + √32 = 2√2 + 3√2 + √(16 x 2) = 5√2 + √(2 x 8) = 5√2 + √16 = 5√2 + 4

Therefore, the sum in simplest form is 5√2 + 4.

Learn more about Simplifying square roots