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The sum and difference of two simple quadratic surds are said to be conjugate surds to each other.

In general, the following surds are conjugate to each other:

[tex](x\sqrt{a}+y\sqrt{b})\text{ and \lparen}x\sqrt{a}-y\sqrt{b})[/tex]

Therefore, the conjugate of the surd:

[tex](5-\sqrt{7})[/tex]

will be:

[tex](5+\sqrt{7})[/tex]

The statement is true.

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