Question

Which choices are equivalent to the expression below? check all that apply.

6 square root of 3
a square root of 54
b square root of 108
c square root of 18 * square root of 6
d square root of 3 * square root of 6
e square root of 3 * square root of 36
f 108

Answer 1

5 sqrt 3i is the correct answer

Answer 2

Answer: b) √108

c√18.√6

e)√3.√36

Step-by-step explanation:

We know that, for example, √4 = √2² = 2

As the index of the number inside the root maches the index of the root, we can remove it from the root.

And the inverse process is also correct, so 2 can be written as

√2² = √4, this way:

6√3 = √3.√6² = √3.√36 = √108

a) √54 ≠ √108

b) √108 = √108 ok

c) √18.√6 = √108 ok

d) √3.√6 = √18 ≠ √108

e) √3.√36 = √108 ok

f) 108 ≠ √108