Question

Simplify 4√1875 in the simplest form

Answer 1

$4 \sqrt{1875 } \\ first \: prime \: factorize \: 1875 \\ 1875 = {25}^{2} \times 3 \\ {5}^{4 } \times 3 \\ now \: \\ 4 \sqrt{1875 } = 4 \sqrt{ {5}^{4} \times 3 } \\ = 4 \times 25 \sqrt{3} \\ 100 \sqrt{3}$