2232 = 4 x 9 x 2 x 31 = 22 x 32 x 2 x 31
So √2232 = 2 x 3 x √62 = 6 x √ 62
No easy way to ascertain √62 but a calculator will give 7.8740 (5sf)
Thus, √2232 = 6 x 7.8740 = 47.2440
BUT, this simply confirms the direct result of √2232 via a calculator.
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The LCM is 2232.
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)
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.
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.
Square root (24) - square root (6) = 2.44948974