Q: What is the method of working out the square root 120?

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12

120The answer is 120.

10.9545

No, it is not. For it to be a perfect square, the square root of it would have to be an integer, but √120 ≈ 10.954. 100 and 121 are perfect squares nearest to 120. ■

It is an irrational number

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Square root of 217 for apex

12

The answer, assuming that 120 is degrees and not radian is -square root of 3.

sqrt(120)

10.954i

120The answer is 120.

10.9545

No, it is not. For it to be a perfect square, the square root of it would have to be an integer, but √120 ≈ 10.954. 100 and 121 are perfect squares nearest to 120. ■

Irrational.

square root of (6 x 20) = square root of (120) = 10.95

The square root of a negative number cannot be expressed with integers. The square root of a negative number is always imaginary.

10.95445Square Root of 120The square root of 120 is 10.954, but it is easier to say "square root of 120." You could also reduce itSQRT(120) = SQRT(12) * SQRT(10) = [SQRT(4)*SQRT(3)] * [SQRT(5) * SQRT(2)] =2 * SQRT(3) * SQRT(5) * SQRT(2)It is common to reduce large numbers under the radical to a string of factors having prime numbers under the radicals.