Question

square root of -5 multiplied by square root of 5

Answer 1

-5 and 5 does not have a perfect square root.

Answer 2

\[\sqrt{-5} \times \sqrt{5}\]

Answer 3

So what does that mean?

Answer 4

The square root is between 2 and 3.

Answer 5

I dont get it

Answer 6

the square root is either 2.5 or below.

Answer 7

\[\large \sqrt{-1}=i\]
The square root of negative one is the imaginary number i.
Factorising the square root of negative 5 we get:
\[\large \sqrt{-5}\times \sqrt{5}=(\sqrt{5}\times \sqrt{5})i\]

Answer 8

The get the answer, which is an imaginary number, just simplify the bracketed terms.

Answer 9

How do I simplify bracketed terms

Answer 10

Multiply the square root of 5 by the square root of 5.

Answer 11

I think its.
\[\sqrt{-5} {\times} \sqrt{5} = \sqrt[4]{-25}\]

Answer 12

That makes more sense. @Teddyiswatshecallsme

Answer 13

Im confused now.

Answer 14

\[\large (\sqrt{5}\times \sqrt{5})i=5i\]

Answer 15

Its -5

Answer 16

The correct result must be an imaginary number.

Answer 17

So is @Teddyiswatshecallsme right or @kropot72

Answer 18

Has anybody given Teddy a medal?

Answer 19

No

Answer 20

@basketball305 Who will judge which is the correct answer?

Answer 21

@kropot72 is absolutely correct. Trust the person that shows there work, because if they are wrong you can find it in their work

\(\sqrt{5}\sqrt{-5}=\sqrt{5}\sqrt{-1*5}=\sqrt{5}\sqrt{5}\sqrt{-1}=5\sqrt{-1}=5i\)

Answer 22

their*