Answered

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Is square root of 224 an irrational number ?

Sagot :

ANSWER

YES

EXPLANATION

We want to know if the square root of 224 is an irrational number.

An irrational number is a number that cannot be written as a fraction/ratio of two integers.

If we simplify the square root of 224:

[tex]\begin{gathered} \sqrt{224}\text{ = }\sqrt{16\cdot\text{ 28}}\text{ = 4}\sqrt{28} \\ \text{ }\Rightarrow\text{ 21.166010488}\ldots \end{gathered}[/tex]

As we can see, this number cannot be written as a fraction of two numbers.

As a rule, the square root of any number that is not a perfect square is an irrational number.

So, the answer is Yes. It is an irrational number

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