Question

Корень25×a в 5 степени×b в 10 степени=?

Answer 1

$\sqrt{25 \times {a}^{5} \times {b}^{10} } = \sqrt{25 \times {a}^{4} \times a \times {b}^{10} } = \sqrt{25} \times \sqrt{ {a}^{4} } \times \sqrt{a} \times \sqrt{ {b}^{10} } = 5 \times {a}^{4 \div 2} \times \sqrt{a} \times {b}^{10 \div 2} = 5 \times {a}^{2} \times \sqrt{a} \times {b}^{5} = 5 {a}^{2} {b}^{5} \sqrt{a}$