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प्रश्न
\[\sqrt{10} \times \sqrt{15}\] is equal to
विकल्प
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
Rationalise the denominator of the following:
`1/sqrt7`
Rationalise the denominator of the following:
`3/(2sqrt5)`
Express the following with rational denominator:
`(6 - 4sqrt2)/(6 + 4sqrt2)`
Express the following with rational denominator:
`(3sqrt2 + 1)/(2sqrt5 - 3)`
Rationales the denominator and simplify:
`(3 - sqrt2)/(3 + sqrt2)`
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
Simplify \[\sqrt{3 - 2\sqrt{2}}\].
Classify the following number as rational or irrational:
`1/sqrt2`
Find the value of a and b in the following:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = 2 - bsqrt(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)`
