(6th root 27 - square root 27/4) raised to the power 2 gives what?
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4
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35
Answer:
3/4
Step-by-step explanation:
[ 6th root 27 - √27/4 ]².
Let us first simplify expression and then square it.
For ease of understanding i am showing how each term can be simplified.
=> 6th root 27 = (3³)¹/⁶ = 3 ³/⁶ = 3 ¹/² = √3.
=> √27/4 = 3/2(√3)
Thus
[ 6th root 27 - √27/4 ]² = [√3 - 3/2(√3)]² = [-√3/2]² = 3/4.
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