The square roots of the three numbers are approximately: √744 ≈ 27.29, √769 ≈ 27.7, and √225 = 15. While the first two are not perfect squares, 225 is and results in a whole number. Understanding the difference between perfect and non-perfect squares helps in estimating their square roots.
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To find the square root of a number means to determine what number multiplied by itself equals the original number.
Let's calculate the square roots for each part of the question:
(a) 744
The square root of 744 is not a whole number, but we can approximate it. Calculating, we find:
744 ≈ 27.28
(b) 769
Similar to 744, the square root of 769 is also not a whole number. Again, we approximate it:
769 ≈ 27.73
(c) 225
225 is a perfect square, which means it has an exact integer square root:
225 = 15
When calculating square roots, especially for non-perfect squares, using a calculator can help to achieve more precise decimal results. In practical situations, it's common to round these to a couple of decimal places for ease of understanding.