Math, asked by Rakshna183, 1 year ago

Simplify with steps
√48-√72-√27+2√18

Answers

Answered by ImRitz
16
Simplify with steps

√48 - √72 - √27 + 2√18:-
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√48 - √72 - √27 + 2√18

= √(3 * 16) - √(2 * 36) - √(3 * 9) + 2√(2 * 9)

= 4√3 - 6√2 - 3√3 + (2 * 3)√2

= 4√3 - 6√2 - 3√3 + 6√2

= (4 - 3)√3 [by cancelling - 6√2 and + 6√2]

= 1√3

= √3 Ans.
Answered by vaidyannevin
1

Answer:

√3

Step-by-step explanation:

√48 - √72 - √27 + 2√18

= √(3 * 16) - √(2 * 36) - √(3 * 9) + 2√(2 * 9)

= 4√3 - 6√2 - 3√3 + (2 * 3)√2

= 4√3 - 6√2 - 3√3 + 6√2

= (4 - 3)√3 [by cancelling - 6√2 and + 6√2]

= 1√3

= √3 Ans.

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