Maths-
General
Easy

Question

Classify whether the following Surd is rational or irrational , justify. 3√24− 5√5
 

hintHint:

Use properties of rational and irrational numbers.

The correct answer is: irrational number.


    Complete step by step solution:
    3 square root of 24 equals 6 square root of 6 (It is an irrational number)
    5 square root of 5 (It is an irrational number)
    Here both the numbers are irrational.
    On subtraction, we have 6 square root of 6 minus 5 square root of 5 , we get an irrational number.
    This cant be written in the form p over q, where p and q are integers.
    3 square root of 24 minus 5 square root of 5 is an irrational number.

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