5 squared is 25, and 6 squared is 36.
So the square root of 30 has to be between 5 and 6. Since 30 is fairly close to midway between 25 and 36, 5.5 would be a reasonable estimate.
(My calculator tells me that the answer is approximately 5.477, so 5.5 is quite good.)
Chat with our AI personalities
i square root(30) = 5.47722558 i
To simplify the square root of 5 times the square root of 6, you can multiply the two square roots together. This gives you the square root of (5*6), which simplifies to the square root of 30. Therefore, the simplified answer is the square root of 30.
The square root of 128 is 8 times the square root of 2 because it's an irrational number. An estimate is 11.313708498984760390413509793678
Almost exactly 723... Simplified, the square root of 522,720 is 132 times the square root of 30.
± 5.477226