Simplify √48 .(1 point)

√48 can be simplified as √(16 × 3). Since 16 is a perfect square, it can be written as √16 = 4. Thus, √48 = 4√3.

so whats the answer?

The answer is 4√3.

To simplify √48, we can look for perfect square factors of 48 and simplify them.

Step 1: Prime factorize 48:
To find the prime factors of 48, divide it by its smallest prime factor, which is 2:
48 ÷ 2 = 24

Now, divide 24 by 2 again:
24 ÷ 2 = 12

Continue dividing by 2:
12 ÷ 2 = 6

Finally, 6 is divisible by 2:
6 ÷ 2 = 3

So, the prime factorization of 48 is: 2 × 2 × 2 × 2 × 3

Step 2: Simplify the square root:
Since we are looking for perfect square factors of 48, there are two factors of 2 repeated twice:
√(2 × 2 × 2 × 2 × 3)

We can take out one pair of 2's and simplify it as 2:
2 × √(2 × 3)

So, the simplified form of √48 is 2√6.