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What is the square root of 16?

 Oct 20, 2020
 #1
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What is the square root of 16?   

 

It's +4.  Don't forget there are two roots, one positive and one negative. 

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 Oct 20, 2020
 #2
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The square root of 16, as Guest said, would be 4 and -4.

 

Note that (-4)^2 and 4^2 both equal 16 :)

 Oct 20, 2020
 #3
avatar+1421 
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Question:  What is the square root of 16?

Answer:     √16 = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~                                                                                                                        The fact is that  -42 = 42 = 16   but   sqrt(16) = 4

 

5 + sqrt(16) = 5 + 4 = 9

 

5 - sqrt(16) = 5 - 4 = 1

 Oct 20, 2020
edited by Dragan  Oct 20, 2020
 #4
avatar+111600 
+1

Dragan is correct

 

\(\sqrt{16}=+4\qquad \text{By convention}\\~\\ \\But\\ if\;\;y^2=16\\then\\ y=\pm\sqrt{16}=\pm4 \)

 

 

So if the sqrt root sign or the power of 1/2 is already in the question then the answer is positive (by convention).

 

But

 

If you add the square root in, as a part of the solution THEN the answer is positive OR negative.

Melody  Oct 21, 2020

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