Advertisements
Advertisements
प्रश्न
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
Advertisements
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 expressions:
`(sqrt5 - 2)(sqrt3 - sqrt5)`
Rationalise the denominator of each of the following
`1/sqrt12`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
if `x= 3 + sqrt8`, find the value of `x^2 + 1/x^2`
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`sqrt(2)/(2 + sqrt(2)`
Simplify:
`[((625)^(-1/2))^((-1)/4)]^2`
If `x = (sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))` and `y = (sqrt(3) - sqrt(2))/(sqrt(3) + sqrt(2))`, then find the value of x2 + y2.
