Question

What is the square root of 1000/100000

Answer 1

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~

Answer 2

remember that
`\sqrt{(x)/(y) }= ( √(x) )/( √(y) )` so

`\sqrt{(1000)/(100000) }= ( √(1000) )/( √(100000) )`
find the individual square roots

`( √(1000) )/( √(100000) )`=
`( 10√(10) )/( 100√(10) ) = (10)/(100) times ( √(10) )/( √(10) ) = (10)/(100) times 1= (1)/(10)`

answer is 1/10