Math, asked by Prarthna2206, 1 year ago

3✓2+2✓3 by 5✓2-4✓3=a-b✓6 . Find a and b

Answers

Answered by Kanitha
0

Answer:

Step-by-step explanation:

3√2+2√3/5√2-4√3=a-b√6

By conjugating the term,

3√2+2√3(5√2+4√3)/5√2-4√3(5√2+4√3)=a-b√6

3√2(5√2+4√3)+2√3(5√2+4√3)/

5√2-4√3(5√2+4√3)=a-b√6

15*2+12*√6+10*√6+8*3/

(5√2)^2-(4√3)^2(by identity)=a-b√6

30+12√6+10√6+24/25*2-16*3=a-b√6

54+22√6/50-48=a-b√6

2(27+11√6)/2=a-b√6

27+11√6=a-b√6

a=27;b=11

*identity used*=(a+b)(a-b)=a^2-b^2

HOPE IT HELPED YOU PLS MARK AS BRAINLIEST


samalok09: in the last step by comparing the coefficients on both sides b would come as -11 as on RHS it is a-b root over 6
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