Question

3-√6/3+2√6=a√6-b
find the value of a and b​

Answer 1

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Given:- 3- √6/3+2√6=a√6-b

To find:- find the value of

a and b

Solution:-

(3- √6)/(3+2√6)=a√6-b

or,(3- √6)*(3-2√6)/(3+2√6)*(3-2√6)=a√6-b

or,(9 - 6√6 - 3√6 + 12)/(9 - 24)=a√6-b

or,(21-9√6)/(-15)=a√6-b

or,(-7+3√6)/5=a√6-b

or,-7/5 + (3√6)/5=a√6-b

or, (3√6)/5 -1.4=a√6-b .....(1)

comparing the two side of eqn(1) we get,

a=(3/5)=0.6 and

b=1.4

Hence,the value of a=0.6 and the value of

b=1.4.(Ans)

Answer 2

Answer:

3-√2+2√6=a√6-b

3-√2+2√6=a√6-b

a√6=2√6

a=2

3-√2= -b

b= -3+√2