In this article we"re going to calculate the square root of 49 and also discover what the square root is and answer some of the common concerns you could. We"ll additionally look at the different approaches for calculating the square root of 49 (both with and without a computer/calculator).
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Square Root of 49 Definition
In mathematical form we have the right to present the square root of 49 utilizing the radical sign, favor this: √49. This is typically referred to as the square root of 49 in radical create.
So what is the square root? In this case, the square root of 49 is the amount (which we will speak to q) that as soon as multiplied by itself, will equal 49.
√49 = q × q = q2
Is 49 a Perfect Square?
In math, we refer to 49 being a perfect square if the square root of 49 is a totality number.
In this situation, as we will see in the calculations listed below, we can check out that 49 is a perfect square.
Is The Square Root of 49 Rational or Irrational?
A prevalent question is to ask whether the square root of 49 is rational or irrational. Rational numbers have the right to be written as a fraction and also irrational numbers cannot.
A quick means to check this is to check out if 49 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 already understand if 49 is a perfect square so we likewise have the right to view that √49 is a rational number.
Can the Square Root of 49 Be Simplified?
Since 49 is a perfect square it deserve to be streamlined because the result will always be equal to a entirety number. Let"s simplify the square root of 49:
√49 = 7.
How to Calculate The Square Root of 49 with a Calculator
If you have actually a calculator then the simplest way to calculate the square root of 49 is to usage that calculator. On the majority of calculators you deserve to carry out this by keying in 49 and also then pressing the √x key. You should obtain the adhering to result:
√49 = 7
How to Calculate the Square Root of 49 with a Computer
On a computer system you can additionally calculate the square root of 49 using Excel, Numbers, or Google Sheets and the SQRT function, favor so:
SQRT(49) = 7
What is the Square Root of 49 Written via an Exponent?
All square root calculations deserve to be converted to a number (referred to as the base) with a fractional exponent. Let"s check out exactly how to perform that through the square root of 49:
√b = b½
√49 = 49½
How to Find the Square Root of 49 Using Long Division
Finally, we have the right to usage the long division technique to calculate the square root of 49. This is very advantageous for long department test difficulties and was exactly how mathematicians would calculate the square root of a number before calculators and computer systems were designed.
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Set up 49 in pairs of two digits from best to left and also attach one collection of 00 bereason we desire one decimal:
Starting through the initially set: the biggest perfect square much less than or equal to 49 is 49, and the square root of 49 is 7 . As such, put 7 on height and also 49 at the bottom like this:
That"s it! The answer displayed at the peak in green. The square root of 49 through one digit decimal accuracy is 7.Notice that the last 2 steps actually repeat the previous 2. To add decimal locations to your answe you deserve to sindicate add even more sets of 00 and also repeat the last 2 steps.