Question

Simplify. -itle=" \sqrt{ {m}^{4} {n}^{7} " alt=" \sqrt{ {m}^{4} {n}^{7} " align="absmiddle" class="latex-formula">
please simplify
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Answer 1

$\sqrt{m^4 n^7}\\ \\\\=\left( m^4 n^7 \right)^{\tfrac 12}~~~~~~~~~~~~~~~~~~;\left[\sqrt a = a^{\tfrac 12}\right]\\\\\\=\left(m^4 \right)^{\tfrac 12} \cdot \left(n^7 \right)^{\tfrac 12} \\\\\\=m^{\tfrac 42} \cdot n^{\tfrac 72}\\\\\\=m^2 n^{\tfrac 72}$