What is the conjugate of binomial surd 5 + 3 ?

We need to find the conjugate of binomial surd 5 + 3 . Now, let us see what a binomial surd isBinomial Surd is an algebraic sum of two surds or a surd and a rational number. For example, 3 + 8 and 4 + 5 .Now, to find the conjugate of binomial surds, we will be changing the sign in between the terms, that is, ‘+’ becomes ‘-’ and vice versa.Hence, the conjugate of 5 + 3 is 5 − 3 .So, the correct answer is “Option 1”.

What is the conjugate of binomial surd 5 + 3 ?

We need to find the conjugate of binomial surd 5 + 3 . Now, let us see what a binomial surd isBinomial Surd is an algebraic sum of two surds or a surd and a rational number. For example, 3 + 8 and 4 + 5 .Now, to find the conjugate of binomial surds, we will be changing the sign in between the terms, that is, ‘+’ becomes ‘-’ and vice versa.Hence, the conjugate of 5 + 3 is 5 − 3 .So, the correct answer is “Option 1”.

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What is the conjugate of binomial surd 5 + $\sqrt{3}$ ?

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5 -

\sqrt{3}

3 +

\sqrt{5}

\sqrt{5} + \sqrt{3}

\sqrt{5} - \sqrt{3}

answer is A.

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Detailed Solution

We need to find the conjugate of binomial surd 5 +

\sqrt{3}

.
Now, let us see what a binomial surd is
Binomial Surd is an algebraic sum of two surds or a surd and a rational number. For example, 3 +

\sqrt{8}

and 4 +

\sqrt{5}

.
Now, to find the conjugate of binomial surds, we will be changing the sign in between the terms, that is, ‘+’ becomes ‘-’ and vice versa.
Hence, the conjugate of 5 +