help please; I don't understand?

Question

Evaluate , if possible. -3 √64

Determine whether -4√64 is rational or irrational.


Which two expressions are equivalent?

√-49,-7,√-49

__
Simplify. √108

_
Simplify. √500

Answer 1

the checkmark thing just means what is the square root of..... so the square root of 500 is 22.36067977

the sq. root of 108 is 10.39230485

Answer 2

-3 √64 = 1/ 3 √64 = 1/4

√-49,-7,√-49

If written as such ,√-49 is NOT -7 (-7^2=49)

√108 = √4.27 = √4.9.3 = √4.√9.√3 = 2.3.√3 = 6.√3

√500 = √5.√100 = 10√5
The key is to factorise the number and spot factors that come an even number of times.

Answer 3

-4√64 is rational, but √-49 irrational because you can't root it.

√108= 6√3
√500=10√5

Answer 4

- 3√64 =

- 3(8) =

- 24

- - - - - - -

Imaginary Number solution

√- 49 =

i√49 =

7i. . . . this is the answer

- - - - - - - -

√108 =

√36 √3 =

6 √3

- - - - - - -

√500 =

√100 √5 =

10 √5

- - - - - - - - s-

Answer 5

1) -24
2) rational
3) i think u did a typo, cuz u put √-49 twice
4) 6√3
5) 10√5
hope this helps