Question

If the statement is true, type true in the space provided. If it is false, replace the underlined word(s) with the word(s) that will make the statement true.

Answer 1

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:

`(x√(a)+y√(b))\text{ and \lparen}x√(a)-y√(b))`

Therefore, the conjugate of the surd:

`(5-√(7))`

will be:

`(5+√(7))`

The statement is true.