Respuesta :
Answer:
=4sqrt(6)
≈ 9.797958971
Step-by-step explanation:
sqrt (96)
96 = 16*6
16 is a perfect square so this can be simplified
sqrt(ab) = sqrt(a) sqrt(b)
sqrt(96) = sqrt(16) sqrt(6)
=4sqrt(6)
It can be approximated by 9.797958971
To find the answer, take out factors of 96 and simplify, like this:
96
Two factors that work nicely are 6 and 16
Now, you simplify from here.
The square root of 16 is 4
The square root of 6 is not a nice number, because 6 is not a perfect square.
So, you would simply leave it as:
[tex]4 \sqrt{6} [/tex]
The 4 is from when you simplified the square root of 16 before. You put that number on the outside.
96
Two factors that work nicely are 6 and 16
Now, you simplify from here.
The square root of 16 is 4
The square root of 6 is not a nice number, because 6 is not a perfect square.
So, you would simply leave it as:
[tex]4 \sqrt{6} [/tex]
The 4 is from when you simplified the square root of 16 before. You put that number on the outside.