Square root of 217 for apex
Irrational.
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.
120
120 rounded to the nearest 10 is 120.
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. ■
Square root of 217 for apex
One way is trial and error. The square root of 121 is 11. So the square root of 120 is just under that. 10.9 squared is 118.81 10.95 squared is 119.9. 10.954 squared is 119.99 which is close enough for me.
12
The answer, assuming that 120 is degrees and not radian is -square root of 3.
sqrt(120)
10.9545
120The answer is 120.
10.954i
Irrational.
square root of (6 x 20) = square root of (120) = 10.95
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.