Advertisements
Advertisements
प्रश्न
Given `sqrt(2)` = 1.414, find the value of `(8 - 5sqrt(2))/(3 - 2sqrt(2))` (to 3 places of decimals).
Advertisements
उत्तर
`(8 - 5sqrt(2))/(3 - 2sqrt(2)) = ((8 - 5sqrt(2))(3 + 2sqrt(2)))/((3 - 2sqrt(2))(3 + 2sqrt(2))`
= `(24 + 16sqrt(2) - 15sqrt(2) - 10 xx 2)/(3^2 - (2sqrt(2))^2`
= `(24 + sqrt(2) - 20)/(9 - 8)`
= `4 + sqrt(2)`
= 4 + 1.414
= 5.414
APPEARS IN
संबंधित प्रश्न
Rationalize the denominator.
`1/sqrt14`
Rationalize the denominator.
`5/sqrt 7`
Write the simplest form of rationalising factor for the given surd.
`sqrt 27`
Write the simplest form of rationalising factor for the given surd.
`3 sqrt 72`
If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find n2
If x = 2√3 + 2√2 , find : `( x + 1/x)^2`
If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`
Rationalise the denominator `5/(3sqrt(5))`
Rationalise the denominator `sqrt(75)/sqrt(18)`
If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`
