In this write-up we"re going to calculate the square root of 49 and also explore what the square source is and also answer some of the common questions friend might. We"ll also look at the different methods for calculating the square root of 49 (both with and also without a computer/calculator).

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Square root of 49 Definition

In mathematical type we can show the square root of 49 using the radical sign, favor this: √49. This is usually referred to as the square source of 49 in radical form.

So what is the square root? In this case, the square root of 49 is the amount (which us will speak to q) that once multiplied through itself, will certainly equal 49.

√49 = q × q = q2

Is 49 a Perfect Square?

In math, we refer to 49 gift a perfect square if the square root of 49 is a entirety number.

In this case, together we will view in the calculations below, we can see the 49 is a perfect square.

Is The Square root of 49 reasonable or Irrational?

A typical question is come ask whether the square source of 49 is reasonable or irrational. Reasonable numbers deserve to be created as a fraction and irrational numbers cannot.

A quick method to check this is to see if 49 is a perfect square. If that is, climate it is a rational number. If it"s no a perfect square then it"s one irrational number.

We currently know if 49 is a perfect square for this reason we additionally can check out that √49 is a rational number.

Can the Square root of 49 it is in Simplified?

Since 49 is a perfect square it deserve to be simplified because the result will always be same to a entirety number. Let"s leveling the square source of 49:

√49 = 7.

How to calculation The Square root of 49 with a Calculator

If you have a calculator climate the simplest means to calculation the square source of 49 is to use that calculator. On most calculators you have the right to do this by keying in 49 and also then pushing the √x key. Girlfriend should acquire the complying with result:

√49 = 7

How to calculate the Square root of 49 through a Computer

On a computer you can also calculate the square source of 49 utilizing Excel, Numbers, or Google Sheets and also the SQRT function, choose so:

SQRT(49) = 7

What is the Square source of 49 Written v an Exponent?

All square source calculations can be converted to a number (called the base) through a fractional exponent. Let"s see just how to carry out that through the square source of 49:

√b = b½

√49 = 49½

How to uncover the Square source of 49 Using lengthy Division

Finally, we deserve to use the long division method to calculation the square root of 49. This is an extremely useful for long department test problems and was just how mathematicians would calculate the square source of a number prior to calculators and also computers to be invented.

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Step 1

Set up 49 in bag of 2 digits from best to left and also attach one collection of 00 due to the fact that we desire one decimal:


Step 2

Starting through the first set: the largest perfect square less than or same to 49 is 49, and the square source of 49 is 7 . Therefore, placed 7 ~ above top and also 49 in ~ the bottom favor this:

7

That"s it! The answer shown at the optimal in green. The square root of 49 with one number decimal accuracy is 7.Notice the the critical two measures actually repeat the previous two. To include decimal areas to her answe you have the right to simply add an ext sets of 00 and also repeat the last two steps.