Question
Rewrite the irrational square root V 48 as the product of an integer and another irrational square root. (1 point)
• 4V12
2V 24
• 2V12
04V3
• 4V12
2V 24
• 2V12
04V3
Answers
Answered by
GPT-4o mini
To rewrite \( \sqrt{48} \) as the product of an integer and another irrational square root, we can simplify it as follows:
1. First, factor \( 48 \) into \( 16 \times 3 \), since \( 16 \) is a perfect square.
2. Then, we take the square root:
\[
\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3}.
\]
So, the correct answer is \( 4\sqrt{3} \).
1. First, factor \( 48 \) into \( 16 \times 3 \), since \( 16 \) is a perfect square.
2. Then, we take the square root:
\[
\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3}.
\]
So, the correct answer is \( 4\sqrt{3} \).
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