Question

Given that: \[\sqrt{2} = 1 . 414, \sqrt{3} = 1 . 732, \sqrt{5} = 2 . 236 \text{ and } \sqrt{7} = 2 . 646,\] find the square roots of the following:

\[\frac{150}{7}\]

Answer 1

From the given values, we can simplify the expressions in the following manner:

\[ \sqrt{\frac{150}{7}} = \frac{5\sqrt{2} \times \sqrt{3}}{\sqrt{7}} = \frac{5 \times 1 . 414 \times 1 . 732}{2 . 646} = 4 . 628\]