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प्रश्न
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
उत्तर
We know that `(a + b)^2 = a^2 + b^ + 2ab` We will use this property to simplify the expression
`(sqrt3 + sqrt7)^2`
`∴(sqrt3 + sqrt7)^2 = (sqrt3)^2 + (sqrt7)^2 + 2 xx sqrt3 xx sqrt7`
`= sqrt(3 xx 3) + sqrt(7 xx 7) + 2 xx sqrt(3 xx 7)`
`= (3^2)^(1/2) + (7^2)^(1/2) + 2sqrt21`
`= 3^1+ 7^1 + 2sqrt21`
`= 10 + 2sqrt21`
Hence the value of expression is `10 + 2sqrt21`
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