+0  
 
0
234
2
avatar

what is the square root of -36 i dont understand why the calculator said 6i

Guest Mar 1, 2015

Best Answer 

 #2
avatar+80922 
+8

Think about this......what real number could we multiply by itself to get -36 ???

Answer.....there isn't any.....a positive times a positive is a positive......and a negative times a negative is a positive

Now......let's define an imaginary number, i,  to be √-1

So

√-36 = √[-1 * 36] = √-1 * √36 =  i * 6   = 6i

And that's why your calculator gave you that answer.....

 

CPhill  Mar 1, 2015
Sort: 

2+0 Answers

 #1
avatar+271 
+5

i stands for imaginary number, $${i} = {\sqrt{-{\mathtt{1}}}}$$.

this is because no number squared can equal a negative number

$${\left(-{\mathtt{1}}\right)}^{{\mathtt{2}}} = \left(-{\mathtt{1}}\right){\mathtt{\,\times\,}}\left(-{\mathtt{1}}\right)$$

a negative times a negative is a positive so the answer is just 1
positive times positive is also positive so you get 1.

if a math problem asked you for the square root of a negative number you either learned about it already or somewhere else you made a mistake.

good luck yo

TheJonyMyster  Mar 1, 2015
 #2
avatar+80922 
+8
Best Answer

Think about this......what real number could we multiply by itself to get -36 ???

Answer.....there isn't any.....a positive times a positive is a positive......and a negative times a negative is a positive

Now......let's define an imaginary number, i,  to be √-1

So

√-36 = √[-1 * 36] = √-1 * √36 =  i * 6   = 6i

And that's why your calculator gave you that answer.....

 

CPhill  Mar 1, 2015

19 Online Users

avatar
avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details