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प्रश्न
Simplify the following expression:
`(sqrt5 - sqrt2)(sqrt5 + sqrt2)`
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उत्तर
The given expression is `(sqrt5 - sqrt2) (sqrt5 + sqrt2)`
We know that (a + b) (a - b) = a2 - b2
⇒ `(sqrt5 - sqrt2) (sqrt5 + sqrt2) = (sqrt5)^2 - (sqrt2)^2`
⇒ `(sqrt5 - sqrt2) (sqrt5 + sqrt2) = 5 - 2`
∴ `(sqrt5 - sqrt2) (sqrt5 + sqrt2) = 3`
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संबंधित प्रश्न
Classify the following numbers as rational or irrational:
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Rationalise the denominator of the following:
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`(3sqrt2 + 1)/(2sqrt5 - 3)`
Simplify
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Simplify \[\sqrt{3 + 2\sqrt{2}}\].
\[\sqrt[5]{6} \times \sqrt[5]{6}\] is equal to
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`2/(3sqrt(3)`
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`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = 2 - bsqrt(6)`
Simplify:
`(8^(1/3) xx 16^(1/3))/(32^(-1/3))`
