Maths-
General
Easy

Question

Classify whether the following Surd is rational or irrational , justify 8-√48

Hint:

Use properties of rational and irrational numbers.

The correct answer is: irrational number.


    Complete step by step solution:
    On prime factorization, we can write
    square root of 48 equals 4 square root of 3(It is an irrational number)
    8 equals 8 over 1 (It is a rational number)
    Here one number is irrational and the other is rational.
    On subtraction, we have 8 minus 4 square root of 3 , we get an irrational number.
    (Since rational number - irrational number = irrational number)
    This cant be written in the form p over q, where p and q are integers.
    8 minus square root of 48 is an irrational number.

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