Advertisements
Advertisements
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`
Advertisements
उत्तर
We know that rationalization factor of the denominator is `sqrt2`.We will multiply numerator and denominator of the given expression `(sqrt5 + 1)/sqrt2` by `sqrt2` to get
`(sqrt5 + 1)/sqrt2 xx sqrt2/sqrt2 = (sqrt10 + sqrt2)/(sqrt2 xx sqrt2)`
`= (sqrt10 + sqrt2)/2`
`= (3.162 + 1.414)/2`
= 4.576/2
= 2.288
The value of expression 2.288 can be round off to three decimal places as 2.288.
Hence the given expression is simplified to 2.288.
APPEARS IN
संबंधित प्रश्न
Simplify the following expression:
`(sqrt5 - sqrt2)(sqrt5 + sqrt2)`
Rationalise the denominator of the following
`sqrt2/sqrt5`
Rationalise the denominator of the following
`(3sqrt2)/sqrt5`
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`
`(2 + sqrt3)/3`
In the following determine rational numbers a and b:
`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`
if `x = (sqrt3 + 1)/2` find the value of `4x^2 +2x^2 - 8x + 7`
If \[\frac{\sqrt{3 - 1}}{\sqrt{3} + 1}\] =\[a - b\sqrt{3}\] then
Simplify the following:
`4sqrt12 xx 7sqrt6`
Rationalise the denominator of the following:
`2/(3sqrt(3)`
If `sqrt(2) = 1.414, sqrt(3) = 1.732`, then find the value of `4/(3sqrt(3) - 2sqrt(2)) + 3/(3sqrt(3) + 2sqrt(2))`.
