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Learn how to find the square root of a number, which is the number that multiplied by itself gives the original number. Watch the video, read the transcript, and see the questions and answers from other learners.
- 1 min
- Sal Khan,Monterey Institute for Technology and Education
- no,to find the square root, you need to find what times itself is equal to the number under the radical
- It's true, but there's a more general formula. (x+1)^2= x^2+2x+1 For an example, we know that 100 squared is 10000, right? Well, 101 squared is (10...
- Most square roots are irrational, meaning that their decimal form continues forever without a repeating pattern. If you are trying to take the squa...
- The denominator of the exponent is telling you to do a cube root. The numerator is telling you to square the number. You can do them in either orde...
- A square root is a number that when multiplied by itself makes a specified quantity. For example 3, when 3 is multiplied by itself (3*3) it equals...
- How to Square A Number
- Negative Numbers
- Square Roots
- Decimal Numbers
- Negatives
- The Square Root Symbol
- Perfect Squares
- Calculating Square Roots
- A Fun Way to Calculate A Square Root
- GeneratedCaptionsTabForHeroSec
"Squared" is often written as a little 2 like this: This says "4 Squared equals 16"(the little 2 says the number appears twice in multiplying)
We can also square negative numbers. That was interesting! When we square a negative number we get a positiveresult. Just the same as squaring a positive number: (For more detail read Squares and Square Roots in Algebra)
A square rootgoes the other way: 3 squared is 9, so a square root of 9 is 3 A square root of a number is ... A square root of 9is ... It is like asking: Here are some more squares and square roots:
It also works for decimal numbers. Try the sliders below (note: '...' means the decimals continue on forever): Using the sliders: 1. What is the square root of 8? 2. What is the square root of 9? 3. What is the square root of 10? 4. What is 1squared? 5. What is 1.1squared? 6. What is 2.6squared?
We discovered earlier that we can square negative numbers: And of course 3 × 3 = 9also. So the square root of 9 could be −3 or +3
We use it like this: and we say "square root of 9 equals 3" But wait a minute! Can't the square root also be −5? Because (−5) × (−5) = 25too. 1. Well the square root of 25could be −5 or +5. 2. But when we use the radical symbol √ we only give the positive (or zero) result.
The Perfect Squares (also called "Square Numbers") are the squares of the integers: Try to remember them up to 12.
It is easy to work out the square root of a perfect square, but it is really hardto work out other square roots.
There is a fun method for calculating a square root that gets more and more accurate each time around: 1. Our first attempt got us from 4 to 3.25 2. Going again (b to e) gets us: 3.163 3. 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'...
Learn how to square a number, find a square root, and use the radical symbol. Explore squares and square roots of positive and negative numbers, decimal numbers, and perfect squares.
Learn the meaning and usage of the square root symbol and how to solve simple square root equations. Watch the video and read the questions and answers from other learners about square roots and related topics.
- 5 min
- Square root of 4 is 2. An easier way to solve the square root for small and simple numbers like 4 is to just see which number, when multiplied twic...
- There is no such thing as a triangle root, however, there is such a thing as a cube root, which would be somewhat the same idea. You will learn abo...
- There is no real number in existence that equals the square root of -1, so humans decided to create one, called *i* . You can find more about imagi...
- Yes, square roots can create 2 answers -- the positive (principal) root and the negative root. When you are working with square roots in an express...
- Cubing simply means multiplying by itself twice. If you think of a number as a line, then squaring gives you the surface area of the square with th...
- The name kind of describes it. You’re basically finding the length of the side of a square if you know the area. For example, the square root of 12...
- Only if the minus sign is inside the square root. sqrt(-9) creates the complex number 3i -sqrt(9) just equals -3. Hope this helps.
- Sal uses a Wacom tablet and stylus.
- You won't be able to square root it because it is not a whole number. Square can either be a positive number meaning whole or, it can be 0 but neve...
The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is 1 . Finding the square root of a number is the opposite of squaring a number. Example: 4 × 4 or 4 2 = 16. So 16 = 4. If the square root is a whole number, it is called a perfect square!
In mathematics, a square root of a number x is a number y such that =; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. For example, 4 and −4 are square roots of 16 because = =.
Learn what is a square root, how to find it using different methods, and its properties and applications. See examples of square roots of perfect and imperfect squares, decimals, negatives and complex numbers.
Square Root. A square root goes the other direction: 3 squared is 9, so a square root of 9 is 3. It is like asking:
