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What is the square root of 1009?

Updated: 4/28/2022
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11y ago

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The square root of 1009 is about 31.76.

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Q: What is the square root of 1009?
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What is the square root of 59?

The square root of 59 :well the whole point of square root is that you have a number double it and the number that you get is the answer.so: 59 squared equals:50 doubled is 1009 doubled is 18100 add 18 equals118


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1,009 squared = 1,018,081


How do you calculate the square root of 1009?

One way to estimate the square root of a number is by iteration. This entails making a guess at the answer and then improving on it. Repeating the procedure should lead to a better estimate at each stage. One such is the Newton-Raphson method. Since you want to find the square root of 1009, define f(x) = x^2 - 1009. Then finding the square root of 1009 is equivalent to solving f(x) = 0. Let f'(x) = 2x. This is the derivative of f(x) but you do not need to know that to use the N-R method. Start with x0 as the first guess. Then let xn+1 = xn - f(xn)/f'(xn) for n = 0, 1, 2, … Provided you made a reasonable choice for the starting point, the iteration will very quickly converge to the true answer. 30*30 = 900 which is reasonably close to 1009 so let x0 = 30, then by x3, the absolute error is less than a quarter in 1 billion! The solution, using this method, is 31.76476035


What is the square root of the square root of 2?

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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 "


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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)


What is the square root of a square that has no root?

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Square root 2 times square root 3 times square root 8?

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What is a principal square root?

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


What is the square root of 4x?

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)


What is the difference between principal square root and perfect square root?

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.