Question

What is the simplified form of √100x^36?

a. 10x^18
b. 10x^6
c. 50x^18
d. 50x^6

Answer 1

The answer to this question is A because you find the square root of the coefficient and then cut the exponent in half. 

Answer 2

`The\ simplified\ form\ \sqrt{100x^(36)}\ is\ 10x^(18).`

Option (a) is correct.

Explanation:

As given in the question the expreession is as follows .

`= \sqrt{100x^(36)}`

As

`√(100) = 10`

`\sqrt{x^(36)} =\sqrt{x^(18).x^(18)} = x^(18)`

`(By\ using\ property\ x^(a+ b) = x^(a).x^(b))`

Now put the above expression given in the question .

`= 10x^(18)`

`Therefore\ the\ simplified\ form\ \sqrt{100x^(36)}\ is\ 10x^(18).`