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4 votes
Is the square root of 225 a rational number?

User Gadolin
by
9.0k points

2 Answers

5 votes

Explanation:


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


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

User Pavel Bulanov
by
8.0k points
4 votes

Answer:

Yes,
√(225) is a rational number.

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.


√(225)


√(15^2)


15

Since 15 can be written as
(15)/(1), therefore,
√(225) is a rational number.

User Lukess
by
8.4k points

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