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There is no simple general method because most square roots are Irrational Numbers. That means their decimal representations are infinitely long. What is required is for you to decide the level of accuracy that you desire. Then use the Newton-Raphson method.

So if you want to find the square root of 56, say,

Define f(x) = x2 - 56

And let f'(x) = 2x

Next, take a starting guess at sqrt(56). You may know that 72 = 49 and 82 = 64 so the answer is going to be between 7 and 8. So start with x0 = 7.

Then iterate: calculate xn+1 = xn + f(xn)/f'(xn) for n = 1, 2, 3, and so on.

Even though x0 is not a particularly good starting point (7.5 would have been better), x3 is accurate to 3 in a billion.

Q: What is the equation to convert a square root into a decimal?

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The answer will depend on how far the square root sign goes.If you want to solve for "x", I suggest you isolate the square root on the left (if it only covers the "2x" part, move the "1" to the other side of the equation). Then, if you square both sides of the equation, you get a formula which you can easily convert to a form which can be solved with the quadratic equation.

An expression such as root(3) + 2 (square root of 3, added to 2) can not be simplified. Of course, you can convert the square root to a decimal and then add, to get an approximate result.

What square root property is essential to solve any radical equation involving square root?

square

3.3 IS THE square ROOT of 11 to one decimal place

Related questions

Find the square root to the thousandth place (3rd decimal digit) and round it to 2 decimal places to give the square root in hundredths. If you want a fraction, convert the decimal hundredths to a fraction by putting them over 100 and simplifying.

The answer will depend on how far the square root sign goes.If you want to solve for "x", I suggest you isolate the square root on the left (if it only covers the "2x" part, move the "1" to the other side of the equation). Then, if you square both sides of the equation, you get a formula which you can easily convert to a form which can be solved with the quadratic equation.

An expression such as root(3) + 2 (square root of 3, added to 2) can not be simplified. Of course, you can convert the square root to a decimal and then add, to get an approximate result.

square it

What square root property is essential to solve any radical equation involving square root?

square

3.3 IS THE square ROOT of 11 to one decimal place

The square root of 10 is about 3.16227766.

The square root of 6 is an irrational number; it can only be approximated as a decimal. √6 ≈ 2.449

Technically,no. A radical equation has a radical (Square root) in it, and has two solutions because the square root can be positive or negative.

square it

According to my calculator: 63.61462096 it might help if you give the original equation (unless you are looking for huge decimal answers)