How do you simplify $(\sqrt{2}) (\sqrt{2})$ $(\sqrt{2})(\sqrt{2})$ ?

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Answer 1 · 2017-09-27T01:27:42

$2$ $2$

...because the square root of a number multiplied by itself is the number. Right?

$\sqrt{9} \cdot \sqrt{9} = 3 \cdot 3 = 9 .$ $sqrt(9) * sqrt(9) = 3 * 3 = 9.$

Likewise, $\sqrt{2} \cdot \sqrt{2} = 2$ $sqrt(2) * sqrt(2) = 2$ .

This is true because the product of two square roots with the same value within them is simply that value.

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An alternative approach is to multiply inside of the radical:

$\sqrt{2} \cdot \sqrt{2}$ $sqrt(2) * sqrt(2)$

$\sqrt{2 \cdot 2}$ $sqrt(2*2)$

$\sqrt{4}$ $sqrt(4)$

$2$ $2$

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I hope that helps!

How do you simplify (\sqrt{2})(\sqrt{2})(√2)(√2)(\sqrt{2})(\sqrt{2})?