Advertisements
Advertisements
Question
Simplify the following expression:
`(sqrt5+sqrt2)^2`
Advertisements
Solution
The given expression is `(sqrt5 + sqrt2)^2`
We know that (a + b)2 = a2 + b2 + 2ab
⇒ `(sqrt5 + sqrt2)^2 =(sqrt5)^2 + (sqrt2)^2 + 2 xx sqrt5 xx sqrt2`
⇒ `(sqrt5 + sqrt2)^2 = 5 + 2 + 2sqrt10`
∴ `(sqrt5 + sqrt2)^2 = 7 + 2sqrt10`
APPEARS IN
RELATED QUESTIONS
Rationalise the denominator of the following:
`1/sqrt7`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
If \[x = 2 + \sqrt{3}\] , find the value of \[x + \frac{1}{x}\].
Simplify \[\sqrt{3 - 2\sqrt{2}}\].
Rationalise the denominator of the following:
`1/(sqrt7-sqrt6)`
`1/(sqrt(9) - sqrt(8))` is equal to ______.
Value of `root(4)((81)^-2)` is ______.
Simplify the following:
`4sqrt12 xx 7sqrt6`
Simplify the following:
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
