Question

Simplify radical 49 /2

Answer 1

To simplify the expression \(\sqrt{\frac{49}{2}}\), you can separate the square root of the numerator and the denominator:

\[
\sqrt{\frac{49}{2}} = \frac{\sqrt{49}}{\sqrt{2}}
\]

Now, simplify \(\sqrt{49}\):

\[
\sqrt{49} = 7
\]

So, the expression becomes:

\[
\frac{7}{\sqrt{2}}
\]

To rationalize the denominator, multiply the numerator and the denominator by \(\sqrt{2}\):

\[
\frac{7 \sqrt{2}}{\sqrt{2} \cdot \sqrt{2}} = \frac{7 \sqrt{2}}{2}
\]

Thus, the simplified form of \(\sqrt{\frac{49}{2}}\) is:

\[
\frac{7 \sqrt{2}}{2}
\]