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what is the square root of 25? this is a test question

 Mar 12, 2016

Best Answer 

 #5
avatar+118687 
+10

Sorry guys that is Not the answer I was hoping for :(

Sqrt 25 = +5

It is NOT -5

This is by convention.

 

Think about this

10 - sqrt4 = 10 - 2 =8

 

It does NOT equal 10 - -2 or  12!

 

HOWEVER

IF X^2 = 9

THEN

X = + SQRT3. OR  X= - SQRT3

 Mar 12, 2016
 #1
avatar+5265 
+10

sqrt(25) = 5

 Mar 12, 2016
 #3
avatar+5265 
0

Thank you, melody! So, the square root of 25 can be ±5 because 5*5=25 and (-5)*(-5)=25.

 

HOWEVER, (-5)*5 is NOT 25, it is -25.

rarinstraw1195  Mar 12, 2016
 #4
avatar+8262 
0

The answer can be either:

\(\sqrt{25}=5\)

Or

\(\sqrt{25}=-5\)

 

 

If you get the square of both numbers, they both equal 25:

\(-5^2=5^2\Rightarrow 25=25\)

Multiplying two negatives equals a positive result.

 

Hope it helped!

DragonSlayer554  Mar 12, 2016
 #2
avatar+118687 
+10

Rarinstraw,  I think that you should expand on your answer.

 

The poster is probably wondering why -5 isn't an answer too :/

 Mar 12, 2016
 #5
avatar+118687 
+10
Best Answer

Sorry guys that is Not the answer I was hoping for :(

Sqrt 25 = +5

It is NOT -5

This is by convention.

 

Think about this

10 - sqrt4 = 10 - 2 =8

 

It does NOT equal 10 - -2 or  12!

 

HOWEVER

IF X^2 = 9

THEN

X = + SQRT3. OR  X= - SQRT3

Melody Mar 12, 2016
 #6
avatar+8262 
0

I am perplexed!

DragonSlayer554  Mar 12, 2016

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