Question

rationalize the denominator 12/✓2+✓3+✓5​

Answer 1

Answer:

Step-by-step explanation:

12/(√2 + √3 + √5)

= [12{(√2+√3)} - (√5)] / [{(√2+√3)+(√5)} {(√2+√3) - (√5)}]

= 12(√2+√3-√5) / (√2+√3)²-(√5)²

= 12(√2+√3-√5) / (2+3+2√6-5)

= 12(√2+√3-√5) / (2√6)

= 12(√2+√3-√5)√6 / (2√6)√6

= 12(√2+√3-√5)√6 / 12

= (√2+√3-√5)√6

= √12+√18+√30 (Ans)