Question

√(45 ) × √(20 ) = ?


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Answer 1

Answer:

Hi !

√ 45×√ 20=√ 900 = 30

Answer 2

Step-by-step explanation:

$factor \: of \: 45 = 3 \times 3 \times 5 = {3}^{2} \times 5 \\ factor \: of \: 20 = 2 \times 2 \times 5 = {2}^{2} \times 5 \\ product \: of \: 45 \: and \: 20 \\ = ( {3}^{2} \times 5) \times ( {2}^{2} \times 5) \\ = {3}^{2} \times {2}^{2} \times {5}^{2} \\ = {(3 \times 2 \times 5)}^{2} \\ = 30^{2} \\ square \: root \: of \: it = \sqrt{ {30}^{2} } = 30 \\ 30 \: is \: your \: answer$