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Rationalise 4√3+5√2÷√48+√18

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Rationalise 4√3+5√2÷√48+√18

Posted by Ram Kumar 6 years, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 6 years, 8 months ago

4√3+5√2÷√48+√18

⇒ = (4√3+5√2) / (√48+√18) rationalize numarator and denominator (4√3-3√2)
⇒ = [(4√3+5√2) / (4√3+3√2)] [ (4√3-3√2) / (4√3-3√2) ]
⇒ = (48-12√6+20√6-30) / (48-18)
⇒ = (18 + 8√6) / 30
⇒ = (9 + 4√6) / 15

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