The product of two conjugate binomial surds i | vedclass

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Question

(C) Let the two conjugate binomial surds be $(a + \sqrt{b})$ and $(a - \sqrt{b})$.Their product is $(a + \sqrt{b})(a - \sqrt{b}) = a^2 - (\sqrt{b})^2

Vedclass · Accepted Answer

a rational number

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(C) Let the two conjugate binomial surds be $(a + \sqrt{b})$ and $(a - \sqrt{b})$.Their product is $(a + \sqrt{b})(a - \sqrt{b}) = a^2 - (\sqrt{b})^2 = a^2 - b$.Since $a$ and $b$ are rational numbers,$a^2 - b$ is also a rational number.Therefore,the product of two conjugate binomial surds is always a rational number.

The product of two conjugate binomial surds is ...........

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