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प्रश्न
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to ______.
विकल्प
`sqrt(2)`
2
4
8
उत्तर
The value of `(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12))` is equal to 2.
Explanation:
`(sqrt(32) + sqrt(48))/(sqrt(8) + sqrt(12)) = (sqrt(16 xx 2) + sqrt(16 xx 3))/(sqrt(4 xx 2) + sqrt(4 xx 3))`
= `(4sqrt(2) + 4sqrt(3))/(2sqrt(2) + 2sqrt(3))`
= `(4(sqrt(2) + sqrt(3)))/(2(sqrt(2) + sqrt(3))`
= 2
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संबंधित प्रश्न
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`sqrt(24)/8 + sqrt(54)/9`
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`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
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.
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`[((625)^(-1/2))^((-1)/4)]^2`
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Simplify:
`(256)^(-(4^((-3)/2))`
