2007-05-10 04:55:38 · 7 answers · asked by lana l 1 in Science & Mathematics ➔ Mathematics
Method 1: find the largest perfect square factor of 96 and rewrite 96 as the product : That would be 16, so 96 = 16 * 6
Then square root of product = product of square roots
so sqrt 96= sqrt 16 * sqrt 6 = 4 sqrt 6
Method 2: prime factor 96: 2 x 2 x 2 x 2 x 2 x 3
Choose pairs of identical factors: (2x2)(2x2) 2 X 3
Square root of each pair is just that number
so sqrt [(2X2)(2X2) X 2 X 3)} = 2 X 2 X sqrt (2X3)
= 4 sqrt 6
2007-05-10 04:59:33 · answer #1 · answered by hayharbr 7 · 0⤊ 0⤋
96 can be broken into 16 x 6 = 96
the square root of 16 is 4.
4 is on the outside of the square root with 6 under the square root.
2007-05-10 05:01:57 · answer #2 · answered by Cool Nerd At Your Service 4 · 0⤊ 0⤋
sqrt(96)=sqrt(2*2*2*2*2*3)
for every set of 2s in the square root, you can take one out, so you would have:
2*2sqrt(3*2) since there is only one 2 and one 3 left inside the square root
so when you multiply it out, it would be:
4sqrt(6)
2007-05-10 05:00:30 · answer #3 · answered by jkicker 3 · 0⤊ 0⤋
sqrt96 = sqrt16 * sqrt6 = 4*sqrt6
2007-05-10 04:59:03 · answer #4 · answered by untitledonald 2 · 0⤊ 0⤋
4sqrt6
2007-05-10 05:02:47 · answer #5 · answered by Ebenezer B 1 · 0⤊ 0⤋
â96 = 9.797958971
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2007-05-10 06:12:19 · answer #6 · answered by SAMUEL D 7 · 0⤊ 1⤋
9.79
2007-05-10 04:59:35 · answer #7 · answered by jordanhendon 2 · 0⤊ 0⤋