rationalise the denominator of 4√3+5√2÷√48+√18
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⇒ (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
⇒ (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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