Question

Упростите выражение:
1)
$\sqrt{ \frac{36}{49 \times 144} }$
2)
$\sqrt{ \frac{441a {}^{8} }{196x {}^{30} } }$
при x
$\geqslant 0$

Answer 1

$1)\sqrt{\frac{36}{49\times144}}=\sqrt{\frac{1}{49\times4}}=\frac{1}{7\times2}=\frac{1}{14}$

$2)\sqrt{\frac{441a^{8}}{196x^{30}}}=\sqrt{\frac{9a^{8}}{4x^{30}}}=\frac{3a^{4}}{2x^{15}}$