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PLEASE TELL ME THE NEXT STEP

PLEASE TELL ME THE NEXT STEP class=

Sagot :

Answer:

Square 4 to get 2 and [tex]\sqrt{24}[/tex]. The [tex]\sqrt{24}[/tex] can be squared to [tex]\sqrt{4}[/tex] and [tex]\sqrt{6}[/tex]. The 4 can be squared to 2, as well. So you would have to multiply 2 by 2 to get 4[tex]\sqrt{6}[/tex].

Step-by-step explanation:

I think what the other answer tries to tell you :

find a small square number (4 or 9) that is a factor of the total number we try to pull the square root from.

that is what lead to the first step by finding that 96 = 24×4

now we repeat this again on our way to the second step, as 4 is a factor of 24 too : 24 = 6×4.

for 6 we cannot find any useful square number as a factor (besides 1, but that does not help). so, the process ends there and we get

sqrt(6)×sqrt(4)×sqrt(4) = sqrt(6)×2×2 = 4×sqrt(6)