Question

Simplify the square root 2,475.

9 the square root of 30

11 the square root of 15

15 the square root of 11

45 the square root of 11

Answer 1

Where should I start?

Answer 2

We have :
\[\Large 2,475=\frac{2475}{1000}=\frac{25\times 9\times 11}{100\times 10}\]
So :
\[\sqrt{2,475}=\frac{5\times3\sqrt11}{10\sqrt{10}}=\frac{15\sqrt{11}\sqrt{10}}{10\sqrt{10}\sqrt{10}}
\\=\frac{15\sqrt{110}}{100}=\frac{3\sqrt{110}}{20}
\]