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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?
25 + 144 = 169√169 = 13
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 you find the diagonal of a 12ft by 5ft door?
the square root of 122+52 (144 + 25 = 169) which is 13.
What two consecutive whole numbers that square root 165 lies between?
√144 < √165 < √169 12 < √165 < 13
Simplify the square root of 117?
10.8 * * * * * True, but that is evaluating it, not simplifying. The latter answer is sqrt(117) = sqrt(9*13) = sqrt(9)*sqrt(13) = 3*sqrt(13)
What is the square root of 25 plus 144 plus 13?
Square root of 25= 5. 5 + 144 + 13 = 162.
How do you simplify square root of 13?
The square roots of 13 cannot be simplified.
What is the square root of 144 plus square root of 25?
25 + 144 = 169√169 = 13
What is the square root of 169 minus 144?
It is: 13-144 = -131
Simplify the square root of 13?
It can't be simplified because the square root of 13 is an irrational number that can not be expressed as a fraction
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)]
What 2 integers is the square root of 155 between?
The square root of 144 (12*12) and the square root of 169 (13*13).
What would the length be of a right triangle with sides of 13 and 5?
If the 13 was the long side (hypoteneuse), the other side would be the square root of 13²-5² = square root of 169-25 = square root of 144 = 12. (according to Pythagoras). If the 13 was a short side, the other is square root of 13² + 5² = square root of 169+25 = square root of 194, or about 13.93
What are the two consecutive whole numbers that the square root 150 falls between?
The square root of 150 is between 12 and 13.
How do you simplify the square root of 117?
sqrt(117) = sqrt(9*13) = sqrt(9)*sqrt(13) = 3*sqrt(13)
What is the simplest radical from of the square root of 91?
As 91 = 7 × 13, √91 doesn't really simplify. It can be changed into: √91 = √(7×13) = √7 √13
How do you find the diagonal of a 12ft by 5ft door?
the square root of 122+52 (144 + 25 = 169) which is 13.
