# What is the following quotient? Square root of 120/square root of 30

What is the following quotient?

Square root of 120/square root of 30

## This Post Has 6 Comments

1. amanda289 says:

The square root of 120 is 10.9545.

The square root of 30 is 5.47723.

10.9545 divided by 5.47723 is approximately 2.0000073

2. antoinewill05 says:

Decimal: 5.66478

Step-by-step explanation:

√6 + √11 / √5 + √3

= √3 + 1/5 √55 + √6

3. arushiverma555 says:

6.382219183

Step-by-step explanation:

If you put it in a calculator it tells you :/

4. ylianafghgfdsnm1479 says:

2

Step-by-step explanation:

Rationalize the denominator to solve this:

$\frac{\sqrt{120} }{\sqrt{30} } *\frac{\sqrt{30} }{\sqrt{30} }$

When you multiply out the denominator, you get 30, which is why we do this.  The product of the numerator is the square root of 3600 which is a perfect square.  60 * 60 = 3600.  Therefore, the quotient is 60 / 30 = 2

$x^{3}y^{3}\sqrt{(\frac{3}{5})y}$

Step-by-step explanation:

we have

$\sqrt{\frac{3x^{12}y^{10}}{5x^{6}y^{3}}}$

Rewrite the expression

we know that

$\frac{3x^{12}y^{10}}{5x^{6}y^{3}} =(\frac{3}{5})(\frac{x^{12}}{x^{6}})(\frac{y^{10}}{y^{3}})$

simplify

$(\frac{3}{5})(\frac{x^{12}}{x^{6}})(\frac{y^{10}}{y^{3}})=(\frac{3}{5})x^{6}y^{7}$

substitute

$\sqrt{(\frac{3}{5})x^{6}y^{7}}=x^{3}y^{3}\sqrt{(\frac{3}{5})y}$

6. GreenHerbz206 says:

the answer would be 2 square root of 3

$What is the follwoing quotient? square root of 96 divided by square root of 8$