Question

Perform the indicated operation. Be sure to rationalize the denominator, when necessary. Make sure to simplify as much as possible and give the exact answer (this means NO decimals since decimals is rounding!).(2 points)
214√
=

1 answer

It seems like there might be a typographical error in your question as "214√" is not completely clear.

If you meant to simplify \( \sqrt{214} \), the process would look like this:

First, let's check if there are any perfect squares that divide into 214:

The prime factorization of 214 is:

\[ 214 = 2 \times 107 \]

Both 2 and 107 are prime numbers, so \(\sqrt{214}\) cannot be simplified further into simpler square roots.

Thus, the simplified form of \( \sqrt{214} \) is:

\[ \sqrt{214} \]

If you meant something different, please provide more details!