Advertisements
Advertisements
Question
\[\sqrt{10} \times \sqrt{15}\] is equal to
Options
5\[\sqrt{6}\]
6\[\sqrt{5}\]
\[\sqrt{30}\]
\[\sqrt{25}\]
Advertisements
Solution
Given that`sqrt10 xx sqrt15`, it can be simplified as
`sqrt10 xx sqrt15 = sqrt(10 xx 15)`
` = sqrt150`
` = sqrt(25 xx 6)`
`= sqrt25 xx sqrt6`
` = 5sqrt6`
APPEARS IN
RELATED QUESTIONS
Simplify the following expressions:
`(3 + sqrt3)(3 - sqrt3)`
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`
`3/sqrt10`
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`
`
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`
Simplify `(3sqrt2 - 2sqrt3)/(3sqrt2 + 2sqrt3) + sqrt12/(sqrt3 - sqrt2)`
if `x = (sqrt3 + 1)/2` find the value of `4x^2 +2x^2 - 8x + 7`
Classify the following number as rational or irrational:
`1/sqrt2`
Simplify the following expression:
`(sqrt5-sqrt2)(sqrt5+sqrt2)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
If `a = (3 + sqrt(5))/2`, then find the value of `a^2 + 1/a^2`.
