Advertisements
Advertisements
प्रश्न
Simplify the following expression:
`(sqrt5+sqrt2)^2`
Advertisements
उत्तर
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
संबंधित प्रश्न
Simplify the following expressions:
`(3 + sqrt3)(3 - sqrt3)`
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
Express the following with rational denominator:
`(sqrt3 + 1)/(2sqrt2 - sqrt3)`
Rationales the denominator and simplify:
`(2sqrt3 - sqrt5)/(2sqrt2 + 3sqrt3)`
Simplify: \[\frac{7 + 3\sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3\sqrt{5}}{3 - \sqrt{5}}\]
Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
Write the rationalisation factor of \[7 - 3\sqrt{5}\].
Simplify \[\sqrt{3 + 2\sqrt{2}}\].
`1/(sqrt(9) - sqrt(8))` is equal to ______.
Rationalise the denominator of the following:
`(3sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3))`
