Advertisements
Advertisements
प्रश्न
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
Advertisements
उत्तर
`(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
संबंधित प्रश्न
Classify the following numbers as rational or irrational:
`2-sqrt5`
Simplify the following expressions:
`(sqrt8 - sqrt2)(sqrt8 + sqrt2)`
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`
`3/sqrt10`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
If\[\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = x + y\sqrt{3},\] find the values of x and y.
If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].
\[\sqrt[5]{6} \times \sqrt[5]{6}\] is equal to
Value of (256)0.16 × (256)0.09 is ______.
Rationalise the denominator of the following:
`2/(3sqrt(3)`
Rationalise the denominator of the following:
`(4sqrt(3) + 5sqrt(2))/(sqrt(48) + sqrt(18))`
