Method 1: You experiment with different numbers. For example, to get the square root of 2: 1 squared = 1, and 2 squared = 4, therefore the root of 2 must be somewhere between 1 and 2. If you continue experimenting, you'll eventually find that 1.42 = 1.96, while 1.52 = 2.25, so the square root is somewhere between 1.4 and 1.5. Continue experimenting to find more and more digits.
Method 2 (much faster): Start with a preliminary estimate for the root, for example, estimate the square root of 2 as 1. Divide by the preliminary root, 2 / 1, the result is 2. That means that 2 x 1 = 2, the real root must be somewhere between both. Take the average, 1.5, as the next estimate for the square root.
Continue by dividing 2 / 1.5 = 1.3333. Take the average of 1.5 and 1.3333, which is 1.416.
Continue by dividing 2 / 1.416, etc.
The number of correct digits in the result tends to double with each step, making it much faster than the first method.
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30. Square root is a number, times itself. 30x30 =900. Other examples of square root are 4x4=16, so 4 is the square root of 16. 5x5=25, so 5 is the square root of 25. 10 is the square root of 100, because 10x10=100.
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 "
square root 2 times square root 3 times square root 8
The square root of any number which is not a perfect square;The cube root of any number which is not a perfect cube;Pi, the circular constant.e, the natural logarithm base number.
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.