Advertisements
Advertisements
प्रश्न
Simplify the following:
`sqrt(24)/8 + sqrt(54)/9`
उत्तर
`sqrt(24)/8 + sqrt(54)/9 = sqrt(2 xx 2 xx 2 xx 3)/8 + sqrt(3 xx 3 xx 3 xx 2)/9`
= `(2sqrt(6))/8 + (3sqrt(6))/9`
= `sqrt(6)/4 + sqrt(6)/3`
= `(3sqrt(6) + 4sqrt(6))/12`
= `(7sqrt(6))/12`
APPEARS IN
संबंधित प्रश्न
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
if `x = 2 + sqrt3`,find the value of `x^2 + 1/x^2`
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
Simplify \[\sqrt{3 - 2\sqrt{2}}\].
Simplify the following expression:
`(3+sqrt3)(3-sqrt3)`
Simplify the following expression:
`(sqrt5-sqrt2)(sqrt5+sqrt2)`
After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.
Value of (256)0.16 × (256)0.09 is ______.
Simplify the following:
`root(4)(81) - 8root(3)(216) + 15root(5)(32) + sqrt(225)`
Find the value of a and b in the following:
`(7 + sqrt(5))/(7 - sqrt(5)) - (7 - sqrt(5))/(7 + sqrt(5)) = a + 7/11 sqrt(5)b`