Question

by prime factorisation method find the square root of 0.0009. plzzz give fast​

Answer 1

Answer:

0.03

Step-by-step explanation:

An easy way ( short cut)

1. the number 0.0009 has 4 decimal places, which means that it's root will have 2 decimal places.
2. the only number present in 0.0009 with a value is 9 so √9 = 3 will be in the decimal place of it's root
3. there are only 2 possible ways of writing a number with the above two criteria (0.30 and 0.03)
4. the square of 0.30 will be 0.09 and the square of the number 0.03 will be 0.0009
5. hence we can conclude that 0.03 is it's root