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https://math.answers.com/math-and-arithmetic/How_do_you_find_the_square_root_of_a_non_square_number

How do you find the square root of a non square number? - Answers

With a calculator, by trial and error, or maybe from a table. For example, find the square root of 71 by trial and error: First, find the perfect squares above and below 71: 82 = 64 ?2 = 71 92 = 81 The square root of 71 is between 8 and 9, a little closer to 8. Guess 8.4. Now 8.42 = 70.56, so 8.4 is a bit low (You can use a basic calculator to multiply, assume it doesn't have a square root key). Check 8.52 = 72.25 (1.25 high), 8.4 is much closer (-0.44). Guess it is 8.43, 8.432 = 71.0649, high. Try 8.422 = 70.8964. 8.43 is closer so the square root of 71 is 8.43, correct to 2 decimals. If you want, you can continue to get a more accurate value. There are ways of getting the answer more quickly, but they are harder to understand. Newton's method is well known.



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How do you find the square root of a non square number? - Answers

https://math.answers.com/math-and-arithmetic/How_do_you_find_the_square_root_of_a_non_square_number

With a calculator, by trial and error, or maybe from a table. For example, find the square root of 71 by trial and error: First, find the perfect squares above and below 71: 82 = 64 ?2 = 71 92 = 81 The square root of 71 is between 8 and 9, a little closer to 8. Guess 8.4. Now 8.42 = 70.56, so 8.4 is a bit low (You can use a basic calculator to multiply, assume it doesn't have a square root key). Check 8.52 = 72.25 (1.25 high), 8.4 is much closer (-0.44). Guess it is 8.43, 8.432 = 71.0649, high. Try 8.422 = 70.8964. 8.43 is closer so the square root of 71 is 8.43, correct to 2 decimals. If you want, you can continue to get a more accurate value. There are ways of getting the answer more quickly, but they are harder to understand. Newton's method is well known.



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https://math.answers.com/math-and-arithmetic/How_do_you_find_the_square_root_of_a_non_square_number

How do you find the square root of a non square number? - Answers

With a calculator, by trial and error, or maybe from a table. For example, find the square root of 71 by trial and error: First, find the perfect squares above and below 71: 82 = 64 ?2 = 71 92 = 81 The square root of 71 is between 8 and 9, a little closer to 8. Guess 8.4. Now 8.42 = 70.56, so 8.4 is a bit low (You can use a basic calculator to multiply, assume it doesn't have a square root key). Check 8.52 = 72.25 (1.25 high), 8.4 is much closer (-0.44). Guess it is 8.43, 8.432 = 71.0649, high. Try 8.422 = 70.8964. 8.43 is closer so the square root of 71 is 8.43, correct to 2 decimals. If you want, you can continue to get a more accurate value. There are ways of getting the answer more quickly, but they are harder to understand. Newton's method is well known.

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      With a calculator, by trial and error, or maybe from a table. For example, find the square root of 71 by trial and error: First, find the perfect squares above and below 71: 82 = 64 ?2 = 71 92 = 81 The square root of 71 is between 8 and 9, a little closer to 8. Guess 8.4. Now 8.42 = 70.56, so 8.4 is a bit low (You can use a basic calculator to multiply, assume it doesn't have a square root key). Check 8.52 = 72.25 (1.25 high), 8.4 is much closer (-0.44). Guess it is 8.43, 8.432 = 71.0649, high. Try 8.422 = 70.8964. 8.43 is closer so the square root of 71 is 8.43, correct to 2 decimals. If you want, you can continue to get a more accurate value. There are ways of getting the answer more quickly, but they are harder to understand. Newton's method is well known.
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