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You can simplify the term by approximation! Here is the approach:
Let y = √x = x^(½). Then,
dy/dx = ½ * x^(-½) = 1/(2√x)
Select 115² to be x. Then, we obtain:
y = 115
dy/dx = 1/(2 * 115) = 1 / 230
Therefore, we obtain this equation:
y - 115 = 1/230 * (x - 115²)
If x = 13144, then we have:
y - 115 = 1/230 * (13144 - 115²)
y = 1/230 * (13144 - 115²) + 115
≈ 114.65
OR
What you can do is to factor out each term by term and extract the perfect square factor out of the √. For instance:
√(13144) = √(4 * 3286) = 2√3286
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What is the square root of 144 plus square root of 25?
The square root of 144 is 12, as 12 multiplied by 12 equals 144. The square root of 25 is 5, as 5 multiplied by 5 equals 25. Therefore, the sum of the square root of 144 and the square root of 25 is 12 + 5, which equals 17.
Simplify the square root of 243?
Are you familiar with the concept of the square root of -1?This is represented by iFor the square root of 243 we can get i involved and say wer are looking for the square root ot [256 - 13(i2)]This can be simplified to [+/-16 - √13(i)]
How do i simplify the square root of 91x?
To simplify the square root of 91x, you need to factor out any perfect squares from the radicand. In this case, 91 is not a perfect square, but it can be factored into 7 and 13, both of which are prime numbers. Therefore, the square root of 91x cannot be simplified further and remains as sqrt(91x).
How do you find the diagonal of a 12ft by 5ft door?
the square root of 122+52 (144 + 25 = 169) which is 13.
What is the square root of 169?
The square root of 169 = ± 13
