Question
Simplify.
9 square root
28
9 square root
28
Answers
GPT-4o mini
To simplify \( 9\sqrt{28} \), we can follow these steps:
1. Factor \( 28 \) into its prime factors:
\[
28 = 4 \times 7 = 2^2 \times 7
\]
2. Take the square root of the factors:
\[
\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}
\]
3. Substitute back into the original expression:
\[
9\sqrt{28} = 9 \times 2\sqrt{7} = 18\sqrt{7}
\]
Thus, the simplified form of \( 9\sqrt{28} \) is \( \boxed{18\sqrt{7}} \).
1. Factor \( 28 \) into its prime factors:
\[
28 = 4 \times 7 = 2^2 \times 7
\]
2. Take the square root of the factors:
\[
\sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}
\]
3. Substitute back into the original expression:
\[
9\sqrt{28} = 9 \times 2\sqrt{7} = 18\sqrt{7}
\]
Thus, the simplified form of \( 9\sqrt{28} \) is \( \boxed{18\sqrt{7}} \).