Advertisements
Advertisements
प्रश्न
Simplify the following expressions:
`(sqrt8 - sqrt2)(sqrt8 + sqrt2)`
Advertisements
उत्तर
We know that `(a - b)(a + b) = a^2 - b^2`. We will use this porperty to simplify the expression
`(sqrt8 - sqrt2)(sqrt8 + sqrt2)`
`∴(sqrt8 - sqrt2)(sqrt8 + sqrt2) = (sqrt8)^2 - (sqrt2)^2`
`= sqrt8 xx sqrt8 - sqrt2 xx sqrt2`
`= (8^2)^(1/2) - (2^2)^(1/2)`
`=8^1 - 2^1`
= 6
Hence the value of expression is 6
APPEARS IN
संबंधित प्रश्न
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`
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`
`(sqrt10 + sqrt15)/sqrt2`
`
In the following determine rational numbers a and b:
`(5 + 3sqrt3)/(7 + 4sqrt3) = a + bsqrt3`
Simplify: \[\frac{7 + 3\sqrt{5}}{3 + \sqrt{5}} - \frac{7 - 3\sqrt{5}}{3 - \sqrt{5}}\]
Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
If \[a = \sqrt{2} + 1\],then find the value of \[a - \frac{1}{a}\].
Rationalise the denominator of the following:
`1/(sqrt7-2)`
Value of `root(4)((81)^-2)` is ______.
Rationalise the denominator of the following:
`16/(sqrt(41) - 5)`
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
