Rationalize the denominator of
4√3+5√2 / √48+√18
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Answer:
9-√6/15
Step-by-step explanation:
- 4√3+5√2/√48+√18
= 4√3+5√2/4√3+3√2
= (4√3+5√2)(4√3-3√2) / (4√3+3√2)(4√3-3√2)
= 48+10√6-12√6-30 / 30
= 18-2√6 / 30
= 9-√6 / 15
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