too tough man
by long division
They came from geometry. If you have a square whose sides are 1 unit long then its diagonal is sqrt(2) units long.
The square root of 37 is the number which yields 37 when multiplied by itself. Since 6x6 is 36, the square root of 37 will be slightly higher than 6. A calculator will be necessary if you don't know the longhand method for finding square roots. This method is no longer taught in schools — suffice it to say, it's like long division, but more complicated. The answer is 6.0827625303.
The square root of 8.41 is approximately 2.898, as calculated by taking the square root of 8.41. This can be found using a calculator or by using long division or the Newton-Raphson method for square roots. The square root represents the value that, when multiplied by itself, equals 8.41.
The answer is 26. The method for solving depends on the resources available and your mathematical ability. With a computer or calculator, the solution is trivial. You could try trial and improvement or, a more sophisticated way is the Newton Raphson method which will work for all kinds of roots. Finally, there is a method that resembles long division that can be applied to square roots but I regret that I am not up to describing it through this browser.
-- The square root of any number ' Q ' is some number which ... when youmultiply it by itself ... the answer to the multiplication is ' Q '.-- If ' Q ' is less than zero, then it doesn't have a square root.-- If ' Q ' is more than ' 1 ', then the square root of ' Q ' is between ' 1 ' and ' Q ' .-- If ' Q ' is less than ' 1 ', then the square root of ' Q ' is between ' Q ' and ' 1 ' .-- Whatever the square root of ' Q ' is, the negative of that number is alsothe square root of ' Q ' ... That's right! Every number has two square roots.-- There's a fairly easy way to figure out the square root of any number witha pencil and paper. It looks a lot like long division on paper, and it's just aboutas easy as long division, but it's too complicated to describe here. Your best betis to use a calculator. Almost all calculators except the absolute cheapest onescan do square roots.
It is 36 because 1296/36 = 36
To square root decimals without a calculator, first convert the decimal into a fraction. For example, the square root of 0.64 can be expressed as √(64/100), which simplifies to √64/√100 = 8/10. Then, simplify the fraction to find the square root. Alternatively, you can estimate by finding the nearest perfect squares and refining your estimate through averaging or by using the long division method for square roots.
To find the roots of the polynomial function ( F(x) = x^3 - x^2 - 5x - 3 ), you can use methods such as factoring, synthetic division, or the Rational Root Theorem. By testing possible rational roots, you may find that ( x = -1 ) is a root. Performing synthetic division or polynomial long division will allow you to factor the polynomial further, leading to the other roots. The remaining roots can be found using numerical methods or by solving the resulting quadratic equation.
long division is division that is of course long.
5.4795
A rational number is one that can be expressed as a ratio of two integers, p/q where q > 0. In decimal form, it has a terminating or recurring representation.An rational number is a number than cannot be expressed as a ratio of two integers. In decimal form, it has a infinitely long, non-recurring representation.A square root can be either rational or irrational or neither.Examples:The square roots of 4 are -2 and +2, both rational.The square roots of 2.25 are -1.5 and +1.5, both rational.The square roots of 2 are -1.41421... and +1.41421, both irrational.The square roots of -2 are -1.41421...*i and +1.41421*i, both imaginary.