## anonymous one year ago Find the negative square root of 48

1. breanna1999

2. anonymous

no

3. breanna1999

Hmm the one I got is -6.9

4. anonymous

Ok do you know how you would get that without using a calclutor?

5. breanna1999

I do not

6. anonymous

ok thanks

7. phi

you could factor 48 into its prime factors 2*2*2*2 * 3 and look for "pairs" there are two pairs of "2's". "pull each pair out of the radical, and put only one of each out front: $\sqrt{2\cdot 2 \cdot 2 \cdot 2 \cdot 3}= 2\cdot 2 \sqrt{3}$ simplify 2*2 to 4 and we want the negative square root, so make it negative $-4 \sqrt{3}$ notice what we get if we multiply it by itself $-4 \sqrt{3} \cdot -4 \sqrt{3} = -4\cdot -4 \cdot \sqrt{3} \cdot \sqrt{3} \\ =16 \cdot 3 = 48$

8. anonymous

ok thanks i think i understand now