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Vlada [557]
3 years ago
12

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.
Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

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.

<h2>Given that,</h2>

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

<h3>We have to determine</h3>

The sum of the equation.

<h3>According to the question,</h3>

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

<h3>Equation; \sqrt{8} +3\sqrt{2} +\sqrt{32}</h3>

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.

brainly.com/question/25996972

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