Question

simplify square root of 80/405

Answer 1

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Here is the answer you were looking for:

(Solution in the attachment)

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@Mahak24

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Answer 2

Hey!

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Question = √80 ÷ 405

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Solution :-

Prime Factorization of 80 and 405

= (√2 × 2 × 2 × 2 × 5) ÷ (9 × 9 × 5)

= √2² × 2² × 5 ÷ 9² × 5

= (2 × 2√5) ÷ (9√5)

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Rationalize :-

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= (4√5 ÷ 9√5) × (9√5 ÷ 9√5)

= (4√5 × 9√5) ÷ (9√5)²

= (36 × 5) ÷ (81 × 5)

= 4 ÷ 9

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Regards :)

Cybary

Be Brainly




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