Question

What is the square root of 1000/100000

Answer 1

remember that $\sqrt{\frac{x}{y} }= \frac{ \sqrt{x} }{ \sqrt{y} }$ so
$\sqrt{\frac{1000}{100000} }= \frac{ \sqrt{1000} }{ \sqrt{100000} }$
find the individual square roots
$\frac{ \sqrt{1000} }{ \sqrt{100000} }$=$\frac{ 10\sqrt{10} }{ 100\sqrt{10} } = \frac{10}{100} times \frac{ \sqrt{10} }{ \sqrt{10} } = \frac{10}{100} times 1= \frac{1}{10}$

answer is 1/10

Answer 2

1000/100000
= 10^3/ 10^5
= 10^(3-5)
= 10^(-2)

sqrt(10^(-2))= sqrt( 1*10^(-2))= 1*10^(-1)= 0.1

The final answer is 0.1~