In this short article we"re walk to calculate the square root of 800 and also explore what the square root is and also answer some of the usual questions you might. We"ll also look at the different methods for calculating the square source of 800 (both with and without a computer/calculator).

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Square source of 800 Definition

In mathematical type we can show the square root of 800 making use of the radical sign, prefer this: √800. This is usually referred to as the square source of 800 in radical form.

So what is the square root? In this case, the square root of 800 is the quantity (which us will contact q) that when multiplied by itself, will equal 800.

√800 = q × q = q2

Is 800 a Perfect Square?

In math, we refer to 800 gift a perfect square if the square source of 800 is a entirety number.

In this case, as we will watch in the calculations below, we can see the 800 is not a perfect square.

Is The Square source of 800 rational or Irrational?

A typical question is come ask even if it is the square root of 800 is rational or irrational. Rational numbers have the right to be composed as a portion and irrational numbers cannot.

A quick means to inspect this is to check out if 800 is a perfect square. If it is, then it is a rational number. If it"s not a perfect square climate it"s an irrational number.

We already know if 800 is a perfect square so we additionally can check out that √800 is an irrational number.

Can the Square source of 800 be Simplified?

800 have the right to be simplified just if you have the right to make 800 inside the radical prize smaller. This is a procedure that is called simplifying the surd. In this example, the square source of 800 deserve to be simplified.

√800 = 20√2.

How to calculation The Square root of 800 v a Calculator

If you have a calculator then the simplest means to calculation the square source of 800 is to usage that calculator. On most calculators you have the right to do this by keying in 800 and also then pushing the √x key. You should obtain the following result:

√800 ≈ 28.2843

How to calculation the Square root of 800 with a Computer

On a computer you can additionally calculate the square source of 800 using Excel, Numbers, or Google Sheets and the SQRT function, prefer so:

What is the Square root of 800 Rounded?

Sometimes you might need to ring the square root of 800 down to a certain number of decimal places. Here are the services to that, if needed.

10th: √800 ≈ 28.3

100th: √800 ≈ 28.28

1000th: √800 ≈ 28.284

What is the Square source of 800 together a Fraction?

We covered previously in this post that just a rational number can be composed as a fraction, and also irrational numbers cannot.

Like we claimed above, since the square source of 800 is one irrational number, we cannot do it into an accurate fraction. However, we have the right to make it into an approximate portion using the square root of 800 rounded to the nearest hundredth.

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√800

≈ 28.3/1

≈ 2828/100

≈ 28 7/25

What is the Square source of 800 Written through an Exponent?

All square root calculations can be converted to a number (called the base) through a spring exponent. Let"s see just how to perform that with the square source of 800:

√b = b½

√800 = 800½

How to uncover the Square root of 800 Using lengthy Division

Finally, we can use the long division method to calculation the square root of 800. This is very useful because that long department test problems and was how mathematicians would certainly calculate the square source of a number prior to calculators and also computers were invented.

Step 1

Set increase 800 in bag of 2 digits from ideal to left and also attach one set of 00 due to the fact that we desire one decimal:


Step 2

Starting with the very first set: the biggest perfect square much less than or equal to 8 is 4, and the square root of 4 is 2 . Therefore, placed 2 top top top and 4 in ~ the bottom favor this: