what is 136 rounded to the nearest ten
Here we will define, clarify, simplify, and summate the square root of 136. We start off with the definition and then answer some common questions near the foursquare root of 136. Then, nosotros will show y'all different ways of calculating the square root of 136 with and without a computer or figurer. Nosotros have a lot of information to share, so allow's become started!
Square root of 136 definition
The foursquare root of 136 in mathematical form is written with the radical sign like this √136. We call this the foursquare root of 136 in radical form. The square root of 136 is a quantity (q) that when multiplied by itself will equal 136.
√136 = q × q = q2
Is 136 a perfect square?
136 is a perfect square if the square root of 136 equals a whole number. Every bit nosotros take calculated further downward on this page, the square root of 136 is non a whole number.
136 is non a perfect foursquare.
Is the square root of 136 rational or irrational?
The square root of 136 is a rational number if 136 is a perfect square. It is an irrational number if it is not a perfect foursquare. Since 136 is not a perfect foursquare, it is an irrational number. This means that the answer to "the square root of 136?" will take an infinite number of decimals. The decimals will not terminate and you cannot make information technology into an exact fraction.
√136 is an irrational number
Can the square root of 136 be simplified?
You tin can simplify 136 if you tin brand 136 inside the radical smaller. Nosotros phone call this process "to simplify a surd". The foursquare root of 136 can be simplified.
√136 = 2√34
How to summate the square root of 136 with a calculator
The easiest and most slow way to calculate the square root of 136 is to utilise your calculator! Simply blazon in 136 followed by √ten to get the reply. We did that with our calculator and got the following answer with 9 decimal numbers:
√136 ≈ 11.661903790
How to calculate the foursquare root of 136 with a computer
If y'all are using a computer that has Excel or Numbers, then y'all can enter SQRT(136) in a prison cell to get the foursquare root of 136. Beneath is the result we got with xiii decimals. We call this the foursquare root of 136 in decimal form.
SQRT(136) ≈ xi.6619037896906
What is the square root of 136 rounded?
The square root of 136 rounded to the nearest 10th, means that you want 1 digit after the decimal point. The square root of 136 rounded to the nearest hundredth, means that you want two digits after the decimal point. The foursquare root of 136 rounded to the nearest thousandth, means that yous want three digits subsequently the decimal betoken.
10th: √136 ≈ xi.7
100th: √136 ≈ 11.66
1000th: √136 ≈ 11.662
What is the square root of 136 as a fraction?
Like we said above, since the square root of 136 is an irrational number, nosotros cannot make it into an exact fraction. However, nosotros can make it into an approximate fraction using the foursquare root of 136 rounded to the nearest hundredth.
√136
≈ 11.66/i
≈ 1166/100
≈ 11 33/50
What is the foursquare root of 136 written with an exponent?
All square roots can be converted to a number (base) with a fractional exponent. The square root of 136 is no exception. Hither is the rule and the answer to "the square root of 136 converted to a base with an exponent?":
√b = b½
√136 = 136½
How to find the square root of 136 by long division method
Here we volition show you how to calculate the foursquare root of 136 using the long segmentation method with ane decimal place accurateness. This is the lost fine art of how they calculated the square root of 136 by hand before modern technology was invented.
Step i)
Set 136 in pairs of two digits from correct to left and attach i set of 00 because we want i decimal:
Step 2)
Starting with the first set: the largest perfect square less than or equal to 1 is i, and the square root of 1 is 1. Therefore, put ane on top and ane at the bottom like this:
| 1 | |||
| 1 | 36 | 00 | |
| ane | |||
Stride 3)
Calculate ane minus 1 and put the difference beneath. Then move down the side by side fix of numbers.
| one | |||
| ane | 36 | 00 | |
| 1 | |||
| 0 | 36 | ||
Pace iv)
Double the number in green on top: i × ii = two. Then, apply 2 and the bottom number to make this problem:
2? × ? ≤ 36
The question marks are "blank" and the aforementioned "blank". With trial and error, we plant the largest number "blank" tin can exist is 1. Replace the question marks in the problem with 1 to get:
21 × 1 = 21.
At present, enter 1 on superlative, and 21 at the bottom:
| 1 | 1 | ||
| ane | 36 | 00 | |
| 1 | |||
| 0 | 36 | ||
| 0 | 21 | ||
Step 5)
Calculate 36 minus 21 and put the difference beneath. Then motility down the next set of numbers.
| ane | 1 | ||
| ane | 36 | 00 | |
| one | |||
| 0 | 36 | ||
| 0 | 21 | ||
| 0 | 15 | 00 | |
Pace vi)
Double the number in green on peak: eleven × 2 = 22. Then, use 22 and the lesser number to brand this problem:
22? × ? ≤ 1500
The question marks are "bare" and the same "blank". With trial and error, we establish the largest number "blank" tin can exist is 6. Now, enter 6 on top:
| i | 1 | six | |
| 1 | 36 | 00 | |
| 1 | |||
| 0 | 36 | ||
| 0 | 21 | ||
| 0 | fifteen | 00 | |
That'south it! The answer is on top. The square root of 136 with one digit decimal accuracy is 11.vi. Did you find that the last 2 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 yous got for 136 on this folio.
Notes
Call up that negative times negative equals positive. Thus, the square root of 136 does not only have the positive answer that we have explained above, but also the negative analogue.
Nosotros often refer to perfect square roots on this page. You may want to use the listing of perfect squares for reference.
Square Root of 137
Here is the side by side number on our listing that we have equally detailed square root information about.
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