To simplify the square root of 48 (√48), we need to factor the number under the square root into its prime factors and look for squares that we can take out.
The prime factorization of 48 is as follows:
48 = 2 × 2 × 2 × 2 × 3
48 = 2^4 × 3
Now, √48 can be written as:
√48 = √(2^4 × 3)
Since we have a pair of 2s squared (2^2), we can take this out of the square root:
√48 = √(2^2 × 2^2 × 3)
√48 = 2 × 2 × √3
√48 = 4√3
Therefore, √48 simplified is 4√3.
Simplify √48 .(1 point)?
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