what two integers are closest to sqaure root of 189

Here we will define, analyze, simplify, and calculate the square root of 189. We start off with the definition and then answer some common questions about the square root of 189. Then, we will show you different ways of calculating the square root of 189 with and without a computer or calculator. We have a lot of information to share, so let's get started!

The Square root of 189 definition

The square root of 189 in mathematical form is written with the radical sign like this √189. We call this the square root of 189 in radical form. The square root of 189 is a quantity (q) that when multiplied by itself will equal 189.

√189 = q × q = q2

Is 189 a perfect square?

189 is a perfect square if the square root of 189 equals a whole number. As we have calculated further down on this page, the square root of 189 is not a whole number.

189 is not a perfect square.

Is the square root of 189 rational or irrational?

The square root of 189 is a rational number if 189 is a perfect square. It is an irrational number if it is not a perfect square. Since 189 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 189?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√189 is an irrational number

Can the square root of 189 be simplified?

You can simplify 189 if you can make 189 inside the radical smaller. We call this process "to simplify a surd". The square root of 189 can be simplified.

√189 = 3√21