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There are long division methods, and guess and divide methods.

I'll go over the guess and divide method.

Let's assume X is the number we want the square root of.

The guess and divide consists of:

1. Guessing the square root of X (the guess is now known as Y1).

2. Divide X by Y1, and then using the resulting number as the new Y2.

3. Average Y1 and Y2, giving you the new number Y1.

4. Repeat steps 2-3 until your guess Y1 is roughly equal to the average of Y1 and Y2

Here's an example

sqrt 695; my first guess for the root is 25.

1. 695 / 25 = 27.8

2. 25 + 27.8 / 2 = 26.4

3. 695 / 26.4 = 26.3257

4. 26.4 + 26.3257 / 2 = 26.36285

5. 695 / 26.36285 = 26.3628553

These two numbers are about equal, so you now have a good estimate of the root of 695. 26.3628553 *26.3628553 = 695.0001 You can keep going through the process until you are satisfied with the accuracy.

I'll go over the guess and divide method.

Let's assume X is the number we want the square root of.

The guess and divide consists of:

1. Guessing the square root of X (the guess is now known as Y1).

2. Divide X by Y1, and then using the resulting number as the new Y2.

3. Average Y1 and Y2, giving you the new number Y1.

4. Repeat steps 2-3 until your guess Y1 is roughly equal to the average of Y1 and Y2

Here's an example

sqrt 695; my first guess for the root is 25.

1. 695 / 25 = 27.8

2. 25 + 27.8 / 2 = 26.4

3. 695 / 26.4 = 26.3257

4. 26.4 + 26.3257 / 2 = 26.36285

5. 695 / 26.36285 = 26.3628553

These two numbers are about equal, so you now have a good estimate of the root of 695. 26.3628553 *26.3628553 = 695.0001 You can keep going through the process until you are satisfied with the accuracy.

Q: How do you extract square root?

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A number is a perfect square when you can directly extract its square root in whole numbers and without approximation. When you subject a certain number to a radical sign, you can extract its square. Example: 25 is a perfect square. it's square root is 5, since 5 x 5 is equal to 25

a number is a perfect square when you can directly extract its square root in whole numbers and without approximation. when you subject a certain number to a radical sign, you can extract its square. example: 25 is a perfect square. it's square root is 5, since 5 x 5 is equal to 25

No luck here.... Sorry...no one has answered this question no answer sorry keep searching

There are infinitely many of them. They include square root of (4.41) square root of (4.42) square root of (4.43) square root of (4.44) square root of (4.45) square root of (5.3) square root of (5.762) square root of (6) square root of (6.1) square root of (6.2)

A principal square root is any square root that's answer is positive, and a perfect square root is a square root that's answer is an integer.

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A number is a perfect square when you can directly extract its square root in whole numbers and without approximation. When you subject a certain number to a radical sign, you can extract its square. Example: 25 is a perfect square. it's square root is 5, since 5 x 5 is equal to 25

a number is a perfect square when you can directly extract its square root in whole numbers and without approximation. when you subject a certain number to a radical sign, you can extract its square. example: 25 is a perfect square. it's square root is 5, since 5 x 5 is equal to 25

No luck here.... Sorry...no one has answered this question no answer sorry keep searching

The square root of the square root of 2

The 8th root

1844.7 (correct to 1 decimal place). Windows calculator will give you square roots (or you can extract them easily with logarithms).

square root of (2 ) square root of (3 ) square root of (5 ) square root of (6 ) square root of (7 ) square root of (8 ) square root of (9 ) square root of (10 ) " e " " pi "

There are infinitely many of them. They include square root of (4.41) square root of (4.42) square root of (4.43) square root of (4.44) square root of (4.45) square root of (5.3) square root of (5.762) square root of (6) square root of (6.1) square root of (6.2)

It's not a square if it has no root. If a number is a square then, by definition, it MUST have a square root. If it did not it would not be a square.

square root 2 times square root 3 times square root 8

The principal square root is the non-negative square root.

We use the property of square roots that says the square root of (ab)=square root (a) multiplied by square root of b So square root (4x)=square root (4) mutiplies by square root of x =2(square root (x)) 2sqrt(x)