| To calculate the direction of the vector v⃗ = (x, y) , use the formula θ = arctan(y/x) , where θ is the smallest angle the vector forms with the horizontal axis, and x and y are the components of the resultant vector. Here we will define, analyze, simplify, and calculate the square root of 1301. We start off with the definition and then answer some common questions about the square root of 1301. Then, we will show you different ways of calculating the square root of 1301 with and without a computer or calculator. We have a lot of information to share, so let's get started! Show Square root of 1301 definition The square root of 1301 in mathematical form is written with the radical sign like this √1301. We call this the square root of 1301 in radical form. The square root of 1301 is a quantity (q) that when multiplied by itself will equal 1301. √1301 = q × q = q2 Is 1301 a perfect square? 1301 is a perfect square if the square root of 1301 equals a whole number. As we have calculated further down on this page, the square root of 1301 is not a whole number. 1301 is not a perfect square. Is the square root of 1301 rational or irrational? The square root of 1301 is a rational number if 1301 is a perfect square. It is an irrational number if it is not a perfect square. Since 1301 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 1301?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction. √1301 is an irrational number Can the square root of 1301 be simplified? You can simplify 1301 if you can make 1301 inside the radical smaller. We call this process "to simplify a surd". The square root of 1301 cannot be simplified. √1301 is already in its simplest radical form. How to calculate the square root of 1301 with a calculator The easiest and most boring way to calculate the square root of 1301 is to use your calculator! Simply type in 1301 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers: √1301 ≈ 36.069377594 How to calculate the square root of 1301 with a computer If you are using a computer that has Excel or Numbers, then you can enter SQRT(1301) in a cell to get the square root of 1301. Below is the result we got with 13 decimals. We call this the square root of 1301 in decimal form. SQRT(1301) ≈ 36.0693775937429 What is the square root of 1301 rounded? The square root of 1301 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 1301 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 1301 rounded to the nearest thousandth, means that you want three digits after the decimal point. 10th: √1301 ≈ 36.1 100th: √1301 ≈ 36.07 1000th: √1301 ≈ 36.069 What is the square root of 1301 as a fraction? Like we said above, since the square root of 1301 is an irrational number, we cannot make it into an exact fraction. However, we can make it into an approximate fraction using the square root of 1301 rounded to the nearest hundredth. √1301 What is the square root of 1301 written with an exponent? All square roots can be converted to a number (base) with a fractional exponent. The square root of 1301 is no exception. Here is the rule and the answer to "the square root of 1301 converted to a base with an exponent?": √b = b½ √1301 = 1301½ How to find the square root of 1301 by long division method Here we will show you how to calculate the square root of 1301 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 1301 by hand before modern technology was invented. Step 1) Step 2) Starting with the first set: the largest perfect square less than or equal to 13 is 9, and the square root of 9 is 3. Therefore, put 3 on top and 9 at the bottom like this: Step 3) Calculate 13 minus 9 and put the difference below. Then move down the next set of numbers. Step 4) Double the number in green on top: 3 × 2 = 6. Then, use 6 and the bottom number to make this problem: 6? × ? ≤ 401 The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 6. Replace the question marks in the problem with 6 to get: 66 × 6 = 396. Now, enter 6 on top, and 396 at the bottom: Step 5) Calculate 401 minus 396 and put the difference below. Then move down the next set of numbers. Step 6) Double the number in green on top: 36 × 2 = 72. Then, use 72 and the bottom number to make this problem: 72? × ? ≤ 500 The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 0. Now, enter 0 on top: That's it! The answer is on top. The square root of 1301 with one digit decimal accuracy is 36.0. Did you notice that the last two steps repeat the previous two steps. You can add decimals by simply adding more sets of 00 and repeating the last two steps over and over. Square Root of a Number Please enter another number in the box below to get the square root of the number and other detailed information like you got for 1301 on this page. Notes Remember that negative times negative equals positive. Thus, the square root of 1301 does not only have the positive answer that we have explained above, but also the negative counterpart. We often refer to perfect square roots on this page. You may want to use the list of perfect squares for reference. Which must be subtracted from 1300 to make it a perfect square?∴ The smallest number to be subtracted from 1300 to make it a perfect square = 1300 - 1296 = 4. Was this answer helpful?
What should be added to 1300 to get a perfect square?The required number is 69.
What should be subtracted to get perfect square?If we subtract the remainder from the number, we get a perfect square.
What least number is subtracted from 1000 so that the number will be perfect square?∴ 39 must be subtracted from 1000 to make it a perfect square.
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