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Question
\[\sqrt{10} \times \sqrt{15}\] is equal to
Options
5\[\sqrt{6}\]
6\[\sqrt{5}\]
\[\sqrt{30}\]
\[\sqrt{25}\]
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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`
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RELATED QUESTIONS
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
Simplify the following expressions:
`(3 + sqrt3)(3 - sqrt3)`
Rationalise the denominator of the following
`sqrt2/sqrt5`
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`(5 + sqrt3)/(5 - sqrt3) + (5 - sqrt3)/(5 + sqrt3)`
Simplify:
`2/(sqrt5 + sqrt3) + 1/(sqrt3 + sqrt2) - 3/(sqrt5 + sqrt2)`
In the following determine rational numbers a and b:
`(sqrt3 - 1)/(sqrt3 + 1) = a - bsqrt3`
Simplify: \[\frac{3\sqrt{2} - 2\sqrt{3}}{3\sqrt{2} + 2\sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}\]
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.
`(sqrt(10) - sqrt(5))/2`
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.
`sqrt(2)/(2 + sqrt(2)`
Simplify:
`(256)^(-(4^((-3)/2))`
