Q: Which value is a reasonable approximation of the square root of 72?

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8.185

The square root of 25 is 5 The square root of 36 is 6 So the square root of 27 is between 5 and 6, and closer to 5 than to 6. Try 5.12 = 52 + 2*5*0.1 + 0.12 = 25 + 10*.1 + a little bit = around 26 5.22 = 25 +10*.2 + a little bit = 27 + a little so that looks good. Then approx value for 8 + sqrt(27) = 8 + 5.2 = 13.2 The precise answer is 13.196 so the approximation is only 0.03% out.

The square root of 20 is an irrational number that can be expressed as 2 times square root of 5

4.6 is a better approximation to the square root of 21.

The square root of 6.35 is approximately 2.5226. To calculate this, you can use a calculator or a mathematical method such as the Newton-Raphson method for square root approximation. The square root of a number is a value that, when multiplied by itself, gives the original number.

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8.185

The square root of 25 is 5 The square root of 36 is 6 So the square root of 27 is between 5 and 6, and closer to 5 than to 6. Try 5.12 = 52 + 2*5*0.1 + 0.12 = 25 + 10*.1 + a little bit = around 26 5.22 = 25 +10*.2 + a little bit = 27 + a little so that looks good. Then approx value for 8 + sqrt(27) = 8 + 5.2 = 13.2 The precise answer is 13.196 so the approximation is only 0.03% out.

The square root of 20 is an irrational number that can be expressed as 2 times square root of 5

4.6 is a better approximation to the square root of 21.

No, the square root of 8 has to be between 2 and 3, closer to 3.

The square root of 6.35 is approximately 2.5226. To calculate this, you can use a calculator or a mathematical method such as the Newton-Raphson method for square root approximation. The square root of a number is a value that, when multiplied by itself, gives the original number.

The value of the square root of 2 is approximately 1.4142, not 1.4121. The square root of 2 is an irrational number, meaning that its decimal representation is non-terminating and non-repeating. The value of 1.4142 is a rounded approximation.

1.4142 is an approximation for the square root of 2.

11.5326

The square root of six is irrational. Do you mean a rational approximation?

The approximation of square root of 563 is (261 + (1 / 261)) / 11 From : Indonesia

What approximation is "best" depends on the required level of accuracy.