In this article we"re going to calculate the square root of 26 and also check out what the square root is and answer some of the prevalent questions you could. We"ll additionally look at the different methods for calculating the square root of 26 (both via and without a computer/calculator).

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Square Root of 26 Definition

In mathematical create we can display the square root of 26 utilizing the radical authorize, favor this: √26. This is generally described as the square root of 26 in radical form.

So what is the square root? In this situation, the square root of 26 is the amount (which we will call q) that once multiplied by itself, will equal 26.

√26 = q × q = q2

Is 26 a Perfect Square?

In math, we refer to 26 being a perfect square if the square root of 26 is a entirety number.

In this situation, as we will check out in the calculations listed below, we deserve to view that 26 is not a perfect square.

Is The Square Root of 26 Rational or Irrational?

A prevalent question is to ask whether the square root of 26 is rational or irrational. Rational numbers deserve to be written as a fraction and irrational numbers cannot.

A quick means to check this is to check out if 26 is a perfect square. If it is, then it is a rational number. If it"s not a perfect square then it"s an irrational number.

We currently understand if 26 is a perfect square so we additionally have the right to watch that √26 is an irrational number.

Can the Square Root of 26 Be Simplified?

26 deserve to be streamlined only if you have the right to make 26 inside the radical symbol smaller. This is a process that is dubbed simplifying the surd. In this instance square root of 26 cannot be simplified.

√26 is already in its easiest radical develop.

How to Calculate The Square Root of 26 with a Calculator

If you have a calculator then the simplest way to calculate the square root of 26 is to use that calculator. On a lot of calculators you have the right to carry out this by typing in 26 and also then pressing the √x crucial. You need to acquire the complying with result:

√26 ≈ 5.099

How to Calculate the Square Root of 26 via a Computer

On a computer system you have the right to likewise calculate the square root of 26 making use of Excel, Numbers, or Google Sheets and also the SQRT feature, like so:

What is the Square Root of 26 Rounded?

Sometimes you might should round the square root of 26 down to a details variety of decimal places. Here are the solutions to that, if essential.

10th: √26 ≈ 5.1

100th: √26 ≈ 5.1

1000th: √26 ≈ 5.099

What is the Square Root of 26 as a Fraction?

We extended previously in this short article that only a rational number have the right to be created as a fraction, and also irrational numbers cannot.

Like we sassist over, considering that the square root of 26 is an irrational number, we cannot make it into an exact fraction. However before, we deserve to make it right into an approximate fraction making use of the square root of 26 rounded to the nearest hundredth.

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√26

≈ 5.1/1

≈ 510/100

≈ 5 5/50

What is the Square Root of 26 Written through an Exponent?

All square root calculations have the right to be converted to a number (dubbed the base) via a fractional exponent. Let"s watch just how to perform that through the square root of 26:

√b = b½

√26 = 26½

How to Find the Square Root of 26 Using Long Division

Finally, we have the right to usage the lengthy division strategy to calculate the square root of 26. This is extremely valuable for long department test troubles and was exactly how mathematicians would calculate the square root of a number prior to calculators and computers were invented.

Tip 1

Set up 26 in pairs of 2 digits from best to left and attach one set of 00 because we want one decimal:


Tip 2

Starting with the initially set: the largest perfect square less than or equal to 26 is 25, and also the square root of 25 is 5 . Thus, put 5 on height and also 25 at the bottom favor this: