8r√e wha is meaning of the word? please help me
Answers
Answer:
8r Square root of e
Explanation:
At least as far back as the 800-500 BC Sulba Sutras, the knowledge of theoretical and practical aspects of square and square root existed in ancient India (possibly much earlier). The Baudhayana Sulba Sutra provides a method for calculating very close approximations to the square roots of 2 and 3. Aryabhata provides a method for calculating the square root of numbers with multiple digits in the Aryabhatiya (section 2.4).
Ancient Greeks were aware that imperfect square roots of positive integers exist. Squares are irrational numbers by definition: amounts that cannot be expressed as a ratio of two integers
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Answer:
8r Square root of e. Explanation: At least as far back as the 800-500 BC Sulba Sutras, the knowledge of theoretical and practical aspects of square and square root existed in ancient India (possibly much earlier).
Explanation:
8r Square root of e. Explanation: At least as far back as the 800-500 BC Sulba Sutras, the knowledge of theoretical and practical aspects of square and square root existed in ancient India (possibly much earlier).
We discovered earlier that we can square negative numbers:
Example: (−3) squared
(−3) × (−3) = 9
And of course 3 × 3 = 9 also.
So the square root of 9 could be −3 or +3
Example: What are the square roots of 25?
(−5) × (−5) = 25
5 × 5 = 25
So the square roots of 25 are −5 and +5
The Square Root Symbol
radical symbol This is the special symbol that means "square root", it is sort of like a tick,
and actually started hundreds of years ago as a dot with a flick upwards.
It is called the radical, and always makes mathematics look important!
We use it like this:
square root of 9 is 3
and we say "square root of 9 equals 3"
Example: What is √25?
25 = 5 × 5, in other words when we multiply 5 by itself (5 × 5) we get 25
So the answer is:
√25 = 5
But wait a minute! Can't the square root also be −5? Because (−5) × (−5) = 25 too.
Well the square root of 25 could be −5 or +5.
But when we use the radical symbol √ we only give the positive (or zero) result.
Example: What is √36 ?
Answer: 6 × 6 = 36, so √36 = 6
Perfect Squares
The Perfect Squares (also called "Square Numbers") are the squares of the integers:
Perfect
Squares
0 0
1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100
11 121
12 144
13 169
14 196
15 225
etc...
Try to remember them up to 12.
Calculating Square Roots
It is easy to work out the square root of a perfect square, but it is really hard to work out other square roots.
Example: what is √10?
Well, 3 × 3 = 9 and 4 × 4 = 16, so we can guess the answer is between 3 and 4.
Let's try 3.5: 3.5 × 3.5 = 12.25
Let's try 3.2: 3.2 × 3.2 = 10.24
Let's try 3.1: 3.1 × 3.1 = 9.61
Getting closer to 10, but it will take a long time to get a good answer!
calculator
At this point, I get out my calculator and it says:
3.1622776601683793319988935444327
But the digits just go on and on, without any pattern.
So even the calculator's answer is only an approximation !
Note: numbers like that are called Irrational Numbers, if you want to know more.
The Easiest Way to Calculate a Square Root
square root button Use your calculator's square root button! square root button
And also use your common sense to make sure you have the right answer.
A Fun Way to Calculate a Square Root
There is a fun method for calculating a square root that gets more and more accurate each time around:
a) start with a guess (let's guess 4 is the square root of 10)
around b) divide by the guess (10/4 = 2.5)
c) add that to the guess (4 + 2.5 = 6.5)
d) then divide that result by 2, in other words halve it. (6.5/2 = 3.25)
e) now, set that as the new guess, and start at b) again
Our first attempt got us from 4 to 3.25
Going again (b to e) gets us: 3.163
Going again (b to e) gets us: 3.1623
And so, after 3 times around the answer is 3.1623, which is pretty good, because:
3.1623 x 3.1623 = 10.00014
Now ... why don't you try calculating the square root of 2 this way?
How to Guess
What if we have to guess the square root for a difficult number such as "82,163"
In that case we could think "82,163" has 5 digits, so the square root might have 3 digits (100x100=10,000), and the square root of 8 (the first digit) is about 3 (3x3=9), so 300 is a good start.
Square Root Day
The 4th of April 2016 is a Square Root Day, because the date looks like 4/4/16
The next after that is the 5th of May 2025 (5/5/25)
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