4 root of 3 + 5 root of 2 / root 48 + root 18 simplify
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Step-by-step explanation:
given :- (4√3 + 5√2)/(√48 + √18)
√48 can be written as = 4√3 and √18 can be written as = 3√2
=> (4√3 + 5√2)/(4√3 + 3√2)
=> (4√3 + 5√2)/(4√3 + 3√2) × (4√3 -3√2)/(4√3 - 3√2)
=> (4√3 + 5√2)(4√3 - 3√2)/(4√3 + 3√2)(4√3 -3√2)
=> [4√3(4√3 - 3√2) + 5√2(4√3 - 3√2)]/[(4√3)² - (3√2)²]
=> (48 - 12√6 + 20√6 - 30)/(48 - 18)
=> (18 + 8√6)/30
=> (9 + 4√6)/15
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