Question

Simplify 147 square rooted

Answer 1

To simplify the square root of 147, we can factor 147 into its prime factors:

1. The prime factorization of 147 is \(147 = 3 \times 49\).
2. We know that \(49\) is a perfect square, as \(49 = 7^2\).

Now we can rewrite the square root:

\[
\sqrt{147} = \sqrt{3 \times 49} = \sqrt{3} \times \sqrt{49} = \sqrt{3} \times 7 = 7\sqrt{3}
\]

So, the simplified form of \(\sqrt{147}\) is \(7\sqrt{3}\).