sqrt(24) + sqrt(54) = sqrt(4*6) + sqrt(9*6) = sqrt(4)*sqrt(6) + sqrt(9)*sqrt(6)
= 2*sqrt(6) + 3*sqrt(6) = 5*sqrt(6)
That is probably the answer required.
But a moment with a calculator will show that this is 12.247 (approx).
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(2√24) / √54 = (2√4√6) / (√9√6) = (4√6)/(3√6) = 4/3
No, nor is it a real number. The square root of minus 54 is equal to the square root of plus 45, times i.
Example: The square root of 54 The square root of 54 is not an integer, since 54 is not a perfect square. The square root of 54 will be between 7 and 8, since 54 is between 49 and 64. Since 54 is closer to 49 than it is to 64, the square root will be closer to 7 than 8. I'd estimate the square root of 54 to be approximately 7.35 The actual square root is plus or minus 7.3484692 To simplify a square root, search for any factors greater than one that are perfect squares. Since 54 = 9 x 6, the square root of 54 equals the square root of 9 x 6 equals the square root of 9 times the square root of 6. The square root of 9 is 3, so the square root of 54 simplified is 3 times the square root of 6.
The square root of 54 is ~7.35
7.34846923