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timurjin [86]
3 years ago
9

Is the square root of 225 a rational number?

Mathematics
2 answers:
MArishka [77]3 years ago
7 0

Step-by-step explanation:

\text{The principal square root}:\\\\\sqrt{a}=b\iff a^2=b\ \text{for}\ a\geq0\ \text{and}\ b\geq0.\\\\\text{The square root:}\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\\===================

\text{If you want the principal square root (arithmetic square root):}\\\\\sqrt{225}=15\ \text{because}\ 15^2=225\\\\\text{If you want square root (algebraic square root):}\\\\\sqrt{225}=\pm15\ \text{because}\ (-15)^2=225\ \text{and}\ 15^2=225

VLD [36.1K]3 years ago
4 0

Answer:

Yes, \sqrt{225} is a rational number.

Step-by-step explanation:

We are asked to determine whether the square root of 225 is a rational number or not.

We know that a number is a rational, when it can be written as a fraction.

Let us find square root of 225.

\sqrt{225}

\sqrt{15^2}

15

Since 15 can be written as \frac{15}{1}, therefore, \sqrt{225} is a rational number.

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