estimate the square root of 335
Answers
hope it will help you
Answer:
different methods of square root
Step-by-step explanation:
How to calculate the square root of 335 with a computer
If you are using a computer that has Excel or Numbers, then you can enter SQRT(335) in a cell to get the square root of 335. Below is the result we got with 13 decimals. We call this the square root of 335 in decimal form.
SQRT(335) ≈ 18.3030052177231
What is the square root of 335 rounded?
The square root of 335 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 335 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 335 rounded to the nearest thousandth, means that you want three digits after the decimal point.
10th: √335 ≈ 18.3
100th: √335 ≈ 18.30
1000th: √335 ≈ 18.303
What is the square root of 335 as a fraction?
Like we said above, since the square root of 335 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 335 rounded to the nearest hundredth.
√335
≈ 18.30/1
≈ 1830/100
≈ 18 3/10
What is the square root of 335 written with an exponent?
All square roots can be converted to a number (base) with a fractional exponent. The square root of 335 is no exception. Here is the rule and the answer to "the square root of 335 converted to a base with an exponent?":
√b = b½
√335 = 335½
How to find the square root of 335 by long division method
Here we will show you how to calculate the square root of 335 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 335 by hand before modern technology was invented.
Step 1)
Set up 335 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:
3 35 00
Step 2)
Starting with the first set: the largest perfect square less than or equal to 3 is 1, and the square root of 1 is 1. Therefore, put 1 on top and 1 at the bottom like this:
1
3 35 00
1
Step 3)
Calculate 3 minus 1 and put the difference below. Then move down the next set of numbers.
1
3 35 00
1
2 35
Step 4)
Double the number in green on top: 1 × 2 = 2. Then, use 2 and the bottom number to make this problem:
2? × ? ≤ 235
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 8. Replace the question marks in the problem with 8 to get:
28 × 8 = 224.
Now, enter 8 on top, and 224 at the bottom:
1 8
3 35 00
1
2 35
2 24
Step 5)
Calculate 235 minus 224 and put the difference below. Then move down the next set of numbers.
1 8
3 35 00
1
2 35
2 24
0 11 00
Step 6)
Double the number in green on top: 18 × 2 = 36. Then, use 36 and the bottom number to make this problem:
36? × ? ≤ 1100
The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 3. Now, enter 3 on top:
1 8 3
3 35 00
1
2 35
2 24
0 11 00