Question

Find the square root of:

\[10\frac{151}{225}\]

 

Answer 1

We know:

\[\sqrt{10\frac{151}{225}} = \sqrt{\frac{2401}{225}} = \frac{\sqrt{2401}}{\sqrt{225}}\]

Now let us compute the square roots of the numerator and the denominator separately.

\[\sqrt{2401} = \sqrt{7 \times 7 \times 7 \times 7} = 7 \times 7 = 49\]
\[\sqrt{225} = \sqrt{3 \times 3 \times 5 \times 5} = 3 \times 5 = 15\]
\[ \therefore \sqrt{10\frac{151}{225}} = \frac{49}{15} = 3\frac{4}{15}\]