Question

I don't know how to do it can some please help.

Answer 1

The square root of 147 equals the sqrt 49 times the sqrt of 3 which in turn equals seven times the sqrt 3

Answer 2

@UnkleRhaukus

Answer 3

start with converting the words to numbers and symbols, use parenthesis if you need to

Answer 4

What you seem to try to figure out is how to manipulate the figure under the SQRT sign in such a way that you can easily reduce the problem to simpler figures. You need to find out if the figure under the SQRT sign can be split up in 'easy squares', like 9, 16, 25, 36, 49, 64 and up.

In your case:
SQRT(147) = SQRT(49 * 3) = SQRT(49)*SQRT(3)=7*SQRT3

It truly helps if you know the square values of the numbers 1 to 10 on top of your head, so you can see how to split the original number in an easy way. Just try this list if you get such a problem.