Question

What is the following sum in simplest form? StartRoot 8 EndRoot 3 StartRoot 2 EndRoot StartRoot 32 EndRoot 3 StartRoot 8 EndRoot 3 StartRoot 2 EndRoot 5 StartRoot 42 EndRoot 9 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot StartRoot 32 EndRoot.

Answer 1

The sum of the equation is $9\sqrt{2}$ and it can be determined by using addition and it can be determined by summation rule in the equation.

Given that,

Equation; $\sqrt{8} +3\sqrt{2} +\sqrt{32}$

We have to determine

The sum of the equation.

According to the question,

To determine the sum of the equation following all the steps given below.

Equation; $\sqrt{8} +3\sqrt{2} +\sqrt{32}$

The sum of the equation is determined by factorizing the equation,

Then,

The sum of the equation is,

$=\sqrt{8} +3\sqrt{2} +\sqrt{32}\\\\= \sqrt{2\times 2\times2 }+ 3\sqrt{2} +\sqrt{2\times 2\times2 \times 2\times2 }\\\\= 2\sqrt{2} + 3\sqrt{2} + 2\times 2\sqrt{2} \\\\= 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2} \\\\= 9 \sqrt{2}$

Hence, The required sum of the equation is $9\sqrt{2}$.

For more details about Addition refer to the link given below.

https://brainly.com/question/25996972