Question

Корень из24-4корень из 6+корень из 54

Answer 1

$\sqrt{24}-4 \sqrt{6} + \sqrt{54} = \sqrt{4*6} -4 \sqrt{6} + \sqrt{9*6} = 2 \sqrt{6} - 4 \sqrt{6} +3 \sqrt{6} = \sqrt{6}(2-4+3) = \sqrt{6}$
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Answer 2

Calculation of Square Roots

To calculate the expression √24 - 4√6 + √54, we can break it down step by step.

1. Calculate the Square Root of 24: - The square root of 24 is approximately 4.89898.

2. Calculate the Square Root of 6: - The square root of 6 is approximately 2.44949.

3. Calculate the Square Root of 54: - The square root of 54 is approximately 7.34847.

Final Calculation

Now, let's substitute these values back into the original expression: - √24 - 4√6 + √54 ≈ 4.89898 - 4*2.44949 + 7.34847 - ≈ 4.89898 - 9.79796 + 7.34847 - ≈ 2.44949

So, the value of √24 - 4√6 + √54 is approximately 2.44949.