To calculate: To rationalize the denominator of the expression frac{sqrt{5} - sqrt{2}}{sqrt{5} + sqrt{2}}.

To calculate:
To rationalize the denominator of the expression
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Derrick

The denominator of a rational expression can be rationalized by removing the irrational term from it.
To remove the irrational term, the numerator and denominator of the expression are multiplied by the conjugate of the denominator.
Conjugate of an expression is given as and vice-versa.
Given expression is
So teh conjugate of the denominator is given as
Multiplying the numerator and the denominator with the conjugate,

According to power rule of exponents $\left({a}^{m}{\right)}^{n}={a}^{mn}$