Advertisements
Advertisements
Question
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
Advertisements
Solution
`(sqrt(3) - sqrt(2))^2 = (sqrt(3))^2 + (sqrt(2))^2 - 2sqrt(3) xx sqrt(2)` ...[Using identity, (a – b)2 = a2 + b2 – 2ab]
= `3 + 2 - 2sqrt(3 xx 2)`
= `5 - 2sqrt(6)`
APPEARS IN
RELATED QUESTIONS
Simplify the following expressions:
`(3 + sqrt3)(3 - 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:
`16/(sqrt41 - 5)`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
if `x = 2 + sqrt3`,find the value of `x^2 + 1/x^2`
if `x= 3 + sqrt8`, find the value of `x^2 + 1/x^2`
Simplify \[\sqrt{3 - 2\sqrt{2}}\].
Value of `root(4)((81)^-2)` is ______.
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
