0
First approximation by
estimated guess: x1 = 4
Better approximation:
x2 = x1 - [ (x12-15) / (2x1) ]
caculated: x2 = 4 - (16-15)/(8)= 3.87(50)
Even better approximation:
x3 = x2 - [ (x22-15) / (2x2) ]
caculated: x3 = 3.875 - (3.8752-15)/(2*3.875) = 3.87(2983(87096774))
Even more better approximation:
x4 = x3 ...... etc.
caculated: x4 = 3.872983(34620745)
Each time you replace x2 with x1 and repeat the equation many times until you get two answers with enough digits that are the same.
In this example you need to repeat the procedure
- two times to get an '2 decimal' precision answer:
x2,round(2) = x3,round(2) = 3.87 , (between 3.875and 3.873)
or
- three times to get an '6 decimal' precision answer:
x3,round(6) = x4,round(6) = 3.872983 , (between 3.8729839 and 3.8729833)
- four times to get an '8 decimal' precision answer: x4,round(8) = 3.87298335
(calculation not displayed)
What else can I help you with?
What is the fourth root of fifteen raised to the third power?
The fourth root of fifteen raised to the third power is 7.622 (rounded).
Irrational numbers between 2 and 2.5?
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 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.
What is the square root of 20 in simplest form?
square root of 20 = square root of 4 * square root of 5. square root of 4 = 2, so your answer is 2 square root of 5.
What is the square root of 24 minus square root of 6?
Square root (24) - square root (6) = 2.44948974
What is the square root of twentyseven multiplied by the square root of fifteen?
20.1246118
Is the square root of fifteen rational?
No, it is no
What is the square root of fifteen thousand?
122.4744871
What is the square root of ten multiplied by the square root of fifteen simplified?
√ (10)*√ (15)= √ (150)= √ (25)*√ (6)= 5*√ (6) read five times the square root of six
What is the fifth root of fifteen equal to?
The fifth root of fifteen = 1.718772
What is the fourth root of fifteen raised to the third power?
The fourth root of fifteen raised to the third power is 7.622 (rounded).
What is the square root of the square root of 2?
The square root of the square root of 2
Irrational numbers between 2 and 2.5?
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?
It's not a square if it has no root. If a number is a square then, by definition, it MUST have a square root. If it did not it would not be a square.
Square root 2 times square root 3 times square root 8?
square root 2 times square root 3 times square root 8
Simplify square root of 5 Times Square root of 6?
To simplify the square root of 5 times the square root of 6, you can multiply the two square roots together. This gives you the square root of (5*6), which simplifies to the square root of 30. Therefore, the simplified answer is the square root of 30.
What is the square root 15 Times Square root 5?
The square root of 15 times the square root of 5 can be simplified as the square root of (15 * 5), which equals the square root of 75. The square root of 75 can be further simplified as 5 times the square root of 3. Therefore, the square root of 15 times the square root of 5 is equivalent to 5 times the square root of 3.
