Advertisements
Advertisements
प्रश्न
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
उत्तर
Let `E = (3 + sqrt(2))/(4sqrt(2))`
For rationalising the denominator, multiplying numerator and denominator by `sqrt(2)`,
`E = (3 + sqrt(2))/(4sqrt(2)) xx sqrt(2)/sqrt(2)`
= `(3sqrt(2) + (sqrt(2))^2)/(4(sqrt(2))^2`
= `(3sqrt(2) + 2)/(4 xx 2)`
= `(3sqrt(2) + 2)/8`
APPEARS IN
संबंधित प्रश्न
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
Simplify the following expressions:
`(3 + sqrt3)(5 - sqrt2)`
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
`2/sqrt3`
Find the value to three places of decimals of the following. It is given that
`sqrt2 = 1.414`, `sqrt3 = 1.732`, `sqrt5 = 2.236` and `sqrt10 = 3.162`
`(sqrt5 + 1)/sqrt2`
Express the following with rational denominator:
`1/(3 + sqrt2)`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
Rationales the denominator and simplify:
`(5 + 2sqrt3)/(7 + 4sqrt3)`
Simplify `(3sqrt2 - 2sqrt3)/(3sqrt2 + 2sqrt3) + sqrt12/(sqrt3 - sqrt2)`
`1/(sqrt(9) - sqrt(8))` is equal to ______.
Rationalise the denominator of the following:
`(sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))`
