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प्रश्न
Simplify the following expression:
`(3+sqrt3)(2+sqrt2)`
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उत्तर
`(3+sqrt3)(2+sqrt2)` = `3(2+sqrt2)+sqrt3(2+sqrt2)`
Left Distributive law of multiplication over addition
= `(3)(2)+3sqrt2+(sqrt3(2))+(sqrt3)(sqrt2)`
= `6+3sqrt2+2sqrt3+sqrt((3)(2))`
∴ `sqrta sqrtb`
= `sqrt(ab)`
= `6+3sqrt2+2sqrt3+sqrt6`
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संबंधित प्रश्न
Find the value to three places of decimals of the following. It is given that
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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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Simplify:
`(1/27)^((-2)/3)`
If `a = (3 + sqrt(5))/2`, then find the value of `a^2 + 1/a^2`.
