Advertisements
Advertisements
प्रश्न
Simplify the following:
`sqrt(45) - 3sqrt(20) + 4sqrt(5)`
Advertisements
उत्तर
`sqrt(45) - 3sqrt20 + 4sqrt(5) = sqrt(3 xx 3 xx 5) - 3sqrt(2 xx 2 xx 2) + 4sqrt(5)`
= `3sqrt(5) - 3 xx 2sqrt(5) + 4sqrt(5)`
= `3sqrt(5) - 6sqrt(5) + 4sqrt(5)`
= `sqrt(5)`
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`
`(2 + sqrt3)/3`
Express the following with rational denominator:
`30/(5sqrt3 - 3sqrt5)`
Rationales the denominator and simplify:
`(4sqrt3 + 5sqrt2)/(sqrt48 + sqrt18)`
Simplify `(3sqrt2 - 2sqrt3)/(3sqrt2 + 2sqrt3) + sqrt12/(sqrt3 - sqrt2)`
Write the rationalisation factor of \[\sqrt{5} - 2\].
Simplify the following expression:
`(sqrt5-sqrt2)(sqrt5+sqrt2)`
Simplify the following:
`(sqrt(3) - sqrt(2))^2`
Rationalise the denominator of the following:
`2/(3sqrt(3)`
Find the value of a and b in the following:
`(5 + 2sqrt(3))/(7 + 4sqrt(3)) = a - 6sqrt(3)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
