## anonymous 4 years ago Simplify the square root of 2,475

1. anonymous

$\sqrt{2,475}$

2. anonymous

$15*\sqrt{11}$

3. anonymous

how would I know how to get that?

4. anonymous

|dw:1340408569107:dw| K so we have to find all the factors of this and when we do, they are- sqrt"5*5*3*3*11". Once we do what I drew up above, we get 15sqrt"11"

5. anonymous

2475=25*9*11

6. anonymous

you divide 2475/5=495;495/5=99; 99/3=33; 33/3=11; 11/11=1; so 2475=5*5*3*3*11 if you take the square root sqrt(25*9*11)=5*3*sqrt(11)