How many values?

Algebra Level 2

16 = ? \large \sqrt{16} = \, ?

None of these choices 4 4 4 , − 4 4, -4 − 4 -4

Aniket Sanghi by Aniket Sanghi , 21, India

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2 solutions

Mehul Arora
Apr 27, 2016

x 2 = ∣ x ∣ , ∴ 16 = + 4 \large \sqrt {x^2} = |x|, \therefore \sqrt {16} = +4

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Typo: It should be x 2 \sqrt{x^2}

Nihar Mahajan - 5 years, 1 month ago

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Thanks, edited.

Mehul Arora - 5 years, 1 month ago
Ashish Menon
Apr 27, 2016

By x \sqrt{x} , we mean principal root which is always positive. So 16 = 4 \sqrt{16} = 4 and not − 4 -4 .
We can write − 4 -4 only when it is stated that x 2 = 16 x^2 = 16

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