Advertisements
Advertisements
प्रश्न
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
Advertisements
उत्तर
`(3+sqrt3)(2+sqrt2)` = `3(2+sqrt2)+sqrt3(2+sqrt2)`
Left Distributive law of multiplication over addition
= `(3)(2)+3sqrt2+(sqrt3(2))+(sqrt3)(sqrt2)`
= `6+3sqrt2+2sqrt3+sqrt((3)(2))`
∴ `sqrta sqrtb`
= `sqrt(ab)`
= `6+3sqrt2+2sqrt3+sqrt6`
APPEARS IN
संबंधित प्रश्न
Simplify of the following:
`root(3)4 xx root(3)16`
Simplify of the following:
`root(4)1250/root(4)2`
Simplify the following expressions:
`(sqrt5 - 2)(sqrt3 - sqrt5)`
Simplify the following expressions:
`(5 + sqrt7)(5 - sqrt7)`
Simplify the following expressions:
`(sqrt5 - sqrt3)^2`
After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
Rationalise the denominator of the following:
`(3sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3))`
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`
Simplify:
`[((625)^(-1/2))^((-1)/4)]^2`
