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प्रश्न
\[\sqrt{10} \times \sqrt{15}\] is equal to
पर्याय
5\[\sqrt{6}\]
6\[\sqrt{5}\]
\[\sqrt{30}\]
\[\sqrt{25}\]
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उत्तर
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`
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संबंधित प्रश्न
Simplify of the following:
`root(3)4 xx root(3)16`
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`(4 + sqrt7)(3 + sqrt2)`
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`(2sqrt5 + 3sqrt2)^2`
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`
Simplify:
`(5 + sqrt3)/(5 - sqrt3) + (5 - sqrt3)/(5 + sqrt3)`
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`(sqrt5+sqrt2)^2`
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`1/(sqrt7-sqrt6)`
After rationalising the denominator of `7/(3sqrt(3) - 2sqrt(2))`, we get the denominator as ______.
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`(2sqrt(3))/3 - sqrt(3)/6`
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.
`4/sqrt(3)`
