Rationalization
Rationalization
RATIONALIZATION:
Let a and be positive real numbers.Then,
Rationalisation of Denominator:
Sometimes we come across expressions containing square roots in their denominators. Addition, subtraction, multiplication and division of such expressions in convenient if their denominators are free from square roots.To make the denominators free from square roots, we multiply the numerator and denominator by an irrational number. Such a number is called rationalisation factor.
Consider the expression .
We know that Therefore, to remove the square root from the denominator we multiply its numerator and denominator by
.
Let us now consider the expression
We know that
which is a rational number
So, we multiply the numerator and denominator by
Example: If find the valur of
SOLUTION We have,
Now,
On rationalzing the denominator, | |||
| Right Option : B | |||
| View Explanation | |||
If x= | |||
| Right Option : B | |||
| View Explanation | |||
On rationalzing the denominator, | |||
| Right Option : D | |||
| View Explanation | |||
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