Advertisements
Advertisements
Question
Simplify the following expression:
`(sqrt5-sqrt2)(sqrt5+sqrt2)`
Advertisements
Solution
The given expression is `(sqrt5 - sqrt2) (sqrt5 + sqrt2)`
We know that (a + b) (a - b) = a2 - b2
⇒ `(sqrt5 - sqrt2) (sqrt5 + sqrt2) = (sqrt5)^2 - (sqrt2)^2`
⇒ `(sqrt5 - sqrt2) (sqrt5 + sqrt2) = 5 - 2`
∴ `(sqrt5 - sqrt2) (sqrt5 + sqrt2) = 3`
APPEARS IN
RELATED QUESTIONS
Simplify the following expressions:
`(sqrt8 - sqrt2)(sqrt8 + sqrt2)`
Rationalise the denominator of the following:
`3/(2sqrt5)`
Rationalise the denominator of the following
`(sqrt3 + 1)/sqrt2`
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Simplify:
`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`
Simplify: \[\frac{7 + 3\sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3\sqrt{5}}{3 - \sqrt{5}}\]
Classify the following number as rational or irrational:
2π
Rationalise the denominator of the following:
`(sqrt(3) + sqrt(2))/(sqrt(3) - sqrt(2))`
Simplify:
`(1/27)^((-2)/3)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
