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

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Answer 1 · 2017-09-27T01:27:42

#2#

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

#sqrt(9) * sqrt(9) = 3 * 3 = 9.#

Likewise, #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) * sqrt(2)#

#sqrt(2*2)#

#sqrt(4)#

#2#

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I hope that helps!