Compare the values of the expressions M and N if M = 3 √54; N = 5√24.

univerkov | September 5, 2021 | education

Let’s remember the rule for comparing irrational numbers:

In order to compare irrational numbers, you need to compare their squares.

Let’s square both numbers.

M ^ 2 = 3 * 3 * 54 = 486;

N ^ 2 = 5 * 5 * 24 = 600.

Now, let’s compare the squares of numbers: N ^ 2> M ^ 2, then, it follows that N> M.

Answer: N> M.

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