Evaluate
\frac{\sqrt{119}}{7}\approx 1.558387445
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\sqrt{\frac{14+3}{7}}
Multiply 2 and 7 to get 14.
\sqrt{\frac{17}{7}}
Add 14 and 3 to get 17.
\frac{\sqrt{17}}{\sqrt{7}}
Rewrite the square root of the division \sqrt{\frac{17}{7}} as the division of square roots \frac{\sqrt{17}}{\sqrt{7}}.
\frac{\sqrt{17}\sqrt{7}}{\left(\sqrt{7}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{17}}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.
\frac{\sqrt{17}\sqrt{7}}{7}
The square of \sqrt{7} is 7.
\frac{\sqrt{119}}{7}
To multiply \sqrt{17} and \sqrt{7}, multiply the numbers under the square root.
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