Question

guys answer step by step​

Answer 1

1. √ 5 × √ 125 = √ 625 = √ 5⁴ =± 5² = ±25
2. √20/√320 = 1/√16 = 1/ √ 4² = ±1/4

Answer 2

Step-by-step explanation:

$\sqrt{5} \times \sqrt{125} = \sqrt{5} \times \sqrt{5 \times 5 \times 5} \\ = 5 \times 5 \: \: \: \: \: \: \: \: \: \: ( \sqrt{5} \times \sqrt{5} = 5) \\ = 25$

$\frac{ \sqrt{20} }{ \sqrt{320} } = \frac{ \sqrt{2 \times 2 \times 5} }{ \sqrt{2 \times 2 \times 2 \times 2} \times \sqrt{2 \times 2 \times 5} } \\ = \frac{1}{ \sqrt{2 \times 2 \times 2 \times 2} } \\ = \frac{1}{2 \times 2 } = \frac{1}{4}$