Home
Class 9
MATHS
If 'a' and 'b' are rational numbers, fin...

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations.
`(sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6`

Text Solution

Verified by Experts

The correct Answer is:
`a=5, b=2`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    NCERT BANGLISH|Exercise EXERCISE - 1.3|2 Videos
  • QUADRILATERALS

    NCERT BANGLISH|Exercise EXERCISE - 8.4|6 Videos
  • STATISTICS

    NCERT BANGLISH|Exercise THINK. DISCUSS AND WRITE|1 Videos

Similar Questions

Explore conceptually related problems

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations. (sqrt5+sqrt3)/(2sqrt5-3sqrt3)=a-bsqrt(15)

Simplify the following expressions : (3+sqrt3)(2+sqrt2)

Evaluate (sqrt3 + sqrt2 )^6 - ( sqrt3 - sqrt2)^6 .

Simplify each of the following by rationalising the denominator: (3sqrt5-sqrt7)/(3sqrt3+sqrt2)

Find the value of 4div(3-sqrt2) .

Find the value of (sqrt2+sqrt3)div(sqrt2-sqrt3) .

If a + b = sqrt5 and a - b = sqrt3 , then the value of a^2 + b^2 is

Evaluate the following limits: lim_(xto3)(3-sqrt(6+x))/(3sqrt3-sqrt(6-x))