2. CBQ on rationalizing factors

Question:

4 m.

Kavitha is a mathematics teacher, she planned a fun activity for her students. She gave an experession and asked some questions to check the students knowledge. She gave the expression

\frac{1}{(\sqrt{5} - 2)}

and asked some questions.

Based on this information try to find the solution of following problems.

1. What is the rationalizing factor of the denominator?

$\sqrt{5}$
$\sqrt{5} + 2$
$\sqrt{5} - 2$
$2$

2. After rationalizing the denominator, what is the simplified form of the expression?

$\frac{1}{(\sqrt{5} + 2)}$
$\sqrt{5} - 2$
$\frac{1}{(\sqrt{5} - 2)}$
$\sqrt{5} + 2$

3. Is the simplified form rational or irrational?

Rational
Cannot be determined
both
Irrational

4. If the expression was

\frac{1}{(\sqrt{7} + \sqrt{3})}

, what would be the rationalizing factor be?

$\sqrt{7} - \sqrt{3}$
$\sqrt{7}$
$\sqrt{3}$
$\sqrt{7} + \sqrt{3}$

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