Question

Prelucrati radicalii:
a)$\sqrt{175}$
b)$\sqrt{} \frac{a ^{6}b }{x ^{9} }$

Answer 1

a)  175=5²×7√(175)=√(5²×7)=5√7




 b.$\sqrt{ \frac{a^{6}b }{ x^{9} } } \\ = \frac{ a^{3} \sqrt{b} }{ x^{3} \sqrt{x^{3} } } \\ = \frac{ a^{3} \sqrt{b}\sqrt{ x^{3}} }{ x^{3} x^{3} } } \\ =\frac{ a^{3} \sqrt{ bx^{3}} }{ x^{6} } }$