Advertisements
Advertisements
प्रश्न
Simplify the following:
`3/sqrt(8) + 1/sqrt(2)`
Advertisements
उत्तर
`3/sqrt(8) + 1/sqrt(2) = 3/sqrt(2 xx 2 xx 2) + 1/sqrt(2)`
= `3/(2sqrt(2)) + 1/sqrt(2)`
= `(3 + 2)/(2sqrt(2)`
= `5/(2sqrt(2)) xx sqrt(2)/sqrt(2)` ...[Multiplying numerator and denominator by `sqrt(2)`]
= `(5sqrt(2))/(2 xx 2)`
= `(5sqrt(2))/4`
APPEARS IN
संबंधित प्रश्न
Simplify of the following:
`root(4)1250/root(4)2`
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
Find the values the following correct to three places of decimals, it being given that `sqrt2 = 1.4142`, `sqrt3 = 1.732`, `sqrt5 = 2.2360`, `sqrt6 = 2.4495` and `sqrt10 = 3.162`
`(1 + sqrt2)/(3 - 2sqrt2)`
Write the rationalisation factor of \[\sqrt{5} - 2\].
If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].
If x = \[\sqrt{5} + 2\],then \[x - \frac{1}{x}\] equals
Rationalise the denominator of the following:
`1/(sqrt5+sqrt2)`
Value of (256)0.16 × (256)0.09 is ______.
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`6/sqrt(6)`
Simplify:
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2))`
