Question

Please help solve this question.

Answer 1

Answer: OPTION A

Step-by-step explanation:

Descompose the number 20 into its prime factors:

$20=2*2*5=2^2$

Because, by definition:

$\sqrt[n]{a^n}=a$

 Then, you must rewrite 2²*5 inside of the square root, as following;

$\frac{3\sqrt{2^2*5}}{\sqrt{5}}$

Simplify as following:

Keeping on mind that $\sqrt[n]{a^n}=a$, then:

$\frac{3*2\sqrt{5}}{\sqrt{5}}$

 Note:

$\frac{\sqrt{5}}{\sqrt{5}}=1$

Then:

$\frac{6\sqrt{5}}{\sqrt{5}}=6(1)=6$

Therefore, as you can see the answer is the option A

Answer 2

Answer:

option A)

6

Step-by-step explanation:

Given in the question the expression

3√20 / √5

(3 x √20) / √5

√20 can be separated as 5x4

(3 x√5x4) / √5

square root rule

(3 x  √5√4) / √5

cancelling √5 from both sides

3 x √4

3 x 2

6 answer

So simplified form of  3√20/√5 is 6