how to find not perfect square root ?

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how to find not perfect square root ?

Here are some links that might be useful to you:

https://www.math-only-math.com/square-root-of-numbers-that-are-not-perfect-squares.html

https://www.math-only-math.com/square-root-of-numbers-that-are-not-perfect-squares.html
Square Root of Numbers that are Not Perfect Squares
Examples on square root of numbers that are not perfect squares are given below: 1. Evaluate √2 correct up to two places of decimal. Solution: Using the division method, we may find the value of √2; Therefore, √2 = 1.414 ⇒ √2 = 1.41 (correct tip to 2 places of decimal) 2. Evaluate √3 correct up to 3 places of decimal.

https://www.toppr.com/guides/maths/squares-and-square-roots/square-root-of-perfect-and-non-perfect-squares

https://www.toppr.com/guides/maths/squares-and-square-roots/square-root-of-perfect-and-non-perfect-squares
Square Root of Perfect and Non Perfect Squares – Toppr
Therefore 180 is not a perfect square and hence the square root is not perfect. The square root of 180, √180 = 2 × 3 × √5 = 6√5. Division Method. Calculating a square root for a large number by prime factorization method often time-consuming. To overcome this, we use the division method to find the of a large number. Steps …

https://www.khanacademy.org / math / algebra / x2f8bb11595b61c86:rational-exponents-radicals / x2f8bb11595b61c86:simplifying-square-roots / a / simplifying-square-roots-review

https://www.khanacademy.org / math / algebra / x2f8bb11595b61c86:rational-exponents-radicals / x2f8bb11595b61c86:simplifying-square-roots / a / simplifying-square-roots-review
How to simplify square roots (review) (article) | Khan Academy
Yes, you can take that approach. But, your work is incomplete. When you simplify a square root, you need to ensure you have removed all perfect squares. With 3√8, you still have a perfect square inside the radical. 3√8 = 3√ (4*2) = 3√4 * √2 = 3*2√2 = 6√2. Hope this helps.

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/understanding-square-roots

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:rational-exponents-radicals/x2f8bb11595b61c86:radicals/v/understanding-square-roots
Understanding square roots (video) | Khan Academy
If you are trying to take the square root of a number that is not a perfect square, the best you can hope for is an approximation. You are usually best served to use a calculator to get these results, but there is a method I enjoy for approximating square roots. It is an iterative method developed by Heron of Alexandria, an ancient Greek engineer.

https://study.com/academy/lesson/simplifying-square-roots-when-not-a-perfect-square.html

https://study.com/academy/lesson/simplifying-square-roots-when-not-a-perfect-square.html
Simplifying Square Roots When not a Perfect Square
The proper mathematical way to write imperfect square roots is by simplifying them as much as possible without using a fraction or a decimal. This will result in numbers like the following: 4√2 …

https://www.youtube.com/watch?v=AxOzUq9kkBY

https://www.youtube.com/watch?v=AxOzUq9kkBY
Square Root of Numbers which are not Perfect Squares – YouTube
This video helps to calculate square root of numbers which are not perfect squares, in very easy way.Also watch: square root of decimal numbershttps://youtu….

https://www.cuemath.com/algebra/perfect-squares

https://www.cuemath.com/algebra/perfect-squares
Perfect Square – Definition, Tips and Tricks, Formula, Examples – Cuemath
For example, to check whether 21 is a perfect square or not, let us calculate its square root. √21 = 4.58. As we can see, 4.58 is not a whole number/integer, so, 21 is not a perfect square number. Let us take another example of the number 64 → √64 = 8. We can see that 8 is a whole number, therefore, 64 is a .

https://www.math.net/square-root

https://www.math.net/square-root
Square root – Math.net
Square roots of non-perfect squares. Finding the square root of a perfect square is relatively simple. As long as you recognize some perfect squares, you can probably square a few numbers that are close and find the solution fairly quickly. However, calculating the square root of non-perfect squares is much more difficult, and is usually not …

https://www.omnicalculator.com/math/square-root

https://www.omnicalculator.com/math/square-root
Square Root Calculator
27 mars 2024The argument of a square root is usually not a perfect square you can easily calculate, but it may contain a perfect square among its factors. In other words, you can write it as a multiplication of two numbers, where one of the numbers is the perfect square, e.g., 45 = 9 × 5 (9 is a perfect ).

https://www.mathsisfun.com/square-root.html

https://www.mathsisfun.com/square-root.html
Squares and Square Roots – Math is Fun
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) 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)
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