Rationalize the denominator 3 root 2 upon root 5
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The correct answer is (3√10)/5.
Given:
The number (3√2)/√5.
To Find:
The rationalization of the given number.
Solution:
By rationalizing a given fraction, we are removing any term with roots in the denominator.
A fraction with a single term in the denominator, which has roots, can be rationalized by multiplying the same term by both the numerator and the denominator.
Here, the fraction given to us is (3√2)/√5.
Multiplying√5 to the numerator as well as the denominator, we get:
(3√2)/√5 x √5/√5 = (3√2 x √5)/(√5 x √5) = (3√10)/5.
Hence, the rationalized form of (3√2)/√5 is (3√10)/5.
∴ The correct answer is (3√10)/5.
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