To calculate: To rationalize the denominator of the expression \frac{7}{\

Wierzycaz

Wierzycaz

Answered question

2021-10-29

To calculate:
To rationalize the denominator of the expression 715.

Answer & Explanation

Nathanael Webber

Nathanael Webber

Skilled2021-10-30Added 117 answers

Calculation:
The denominator of a rational expression can be rationalized by removing the irrational term from it.
To remove the irration term, the numerator and denominator of the expression are multiplied by the conjugate of the denominator.
Conjugate of an expression a+b is given as ab and vice-versa.
This can be written as: 715+0
So the conjugate of the denominator is given as 150=15
Multiplying the numerator and the denominator with the conjugate,
715=7×1515×15
715=715(15)2
715=71515 (SInce square and square root are opposite operations, they cancel out).

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