## anonymous one year ago will medal. what is the square root of 96? ^ I I how do you find this out?

1. Nnesha

factor 96 :-)

2. anonymous

i know 24*4=96 but when i find the sqwr rt. it gives me 9.4756 and so on.

3. anonymous

$\sqrt{96}= 4\sqrt{6} <--??$

4. Nnesha

yep right 96 is not a perfect square so we have to factor it one of number should be perfect square $\sqrt{24 \times 4 }$ now you can factor 24 too

5. Nnesha

yep that's right take squareroot o 4 $2 \sqrt{24} = 2 \sqrt{4 \times 6}$

6. anonymous

I'm sorry, but this is not clicking in my mind. its 7:40 am here and my mind is still half asleep

7. anonymous

here, ill make a random equation. plz explain how to do this. what is the geometric mean of 8 and 18?

8. Nnesha

alright divide 96 by2 |dw:1433767260430:dw| apply exponent rule which x^m times x^n = x^{m+n} when you multiply same bases you should add their exponents $\sqrt{2 \times 2 \times 2 \times 2 \times 6} = \sqrt{2^2 \times 2^2 \times 6}$ now you cancel out square with square root

9. anonymous

so its $\sqrt{4X6} then?$

10. Nnesha

nope sqrt of 2^2 = ?

11. anonymous

oh

12. Nnesha

2^2 is same as 2 times 2 which is equal to 4 so what is square root of 4 ?

13. anonymous

hey can we try a diff equation? ill post a random one and you can tell me the steps to solve it. is that alright with you?

14. Nnesha

alright i'll try

15. anonymous

k