Math, asked by mdismail07, 7 months ago

list perfect square root under 200​

Answers

Answered by ngaeni12345
0

Here we will define, analyze, simplify, and calculate the square root of 200. We start off with the definition and then answer some common questions about the square root of 200. Then, we will show you different ways of calculating the square root of 200 with and without a computer or calculator. We have a lot of information to share, so let's get started!

Square root of 200 definition

The square root of 200 in mathematical form is written with the radical sign like this √200. We call this the square root of 200 in radical form. The square root of 200 is a quantity (q) that when multiplied by itself will equal 200.

√200 = q × q = q2

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Is 200 a perfect square?

200 is a perfect square if the square root of 200 equals a whole number. As we have calculated further down on this page, the square root of 200 is not a whole number.

200 is not a perfect square.

Is the square root of 200 rational or irrational?

The square root of 200 is a rational number if 200 is a perfect square. It is an irrational number if it is not a perfect square. Since 200 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 200?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√200 is an irrational number

Can the square root of 200 be simplified?

You can simplify 200 if you can make 200 inside the radical smaller. We call this process "to simplify a surd". The square root of 200 can be simplified.

√200 = 10√2

How to calculate the square root of 200 with a calculator

The easiest and most boring way to calculate the square root of 200 is to use your calculator! Simply type in 200 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√200 ≈ 14.142135624

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