Math, asked by gautam4726, 1 year ago

rationalize the denominator √32+√48\√8+√12

Answers

Answered by littyissacpe8b60

√32 + √48 = 4√2 + 4√3

√8 + √12 2√2 + 2√3

= 4√2 + 4√3 = 2 (2√2 + 2√3) = 2√2 + 2√3

2√2 + 2√3 2 (√2 + √3) √2 + √3

= (2√2 + 2√3) (√2 - 3)) = 4 + 2√6 - 6√2 - 6√3 = ⁻ 2 - √6 + 3√2 + 3√3

2 - 3 -1

gautam4726: wrong

littyissacpe8b60: why?

littyissacpe8b60: I made it in smallest form. if you put root 8 and root 32 directly big numbers need to multiply

gautam4726: it is rationalize the denominator

littyissacpe8b60: rationalize denominator means remove root of √8 + √12. For that you have to multiply √8 - √12 with denominator and also with numerator. Then big numbers will come. So I simplified the numbers first. For example finding factors of √8 = √(2 x 2) x 2. So we got 2√2

littyissacpe8b60: You try √32 = √(2x2)x(2x2)x3 = 4√3 Likewise √48 = 4√3 and √12 = 2√3

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