Question

Simplify the given equation:
3√2+√8-√50​

Answer 1

Step-by-step explanation:

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Answer 2

3√2 + √8 - √50 = 0

Given :

The expression 3√2 + √8 - √50

To find :

To simplify the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

3√2 + √8 - √50

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ 3\sqrt{2} + \sqrt{8} - \sqrt{50} }$

$\displaystyle \sf{ = 3\sqrt{2} + \sqrt{2 \times 2 \times 2} - \sqrt{5 \times 5 \times 2} }$

$\displaystyle \sf{ = 3\sqrt{2} + \sqrt{ {2}^{2} \times 2} - \sqrt{ {5}^{2} \times 2} }$

$\displaystyle \sf{ = 3\sqrt{2} + 2 \sqrt{ 2} - 5 \sqrt{ 2} }$

$\displaystyle \sf{ = 5 \sqrt{2} - 5 \sqrt{2} }$

$\displaystyle \sf{ = 0 }$

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