SOLUTION: A rectangular block has a square base. The length of each side of the base is (√3 - √2)m and volume of the block is (4√2 - 3√3) cubic metre. Find the height
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-> SOLUTION: A rectangular block has a square base. The length of each side of the base is (√3 - √2)m and volume of the block is (4√2 - 3√3) cubic metre. Find the height
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Question 421866: A rectangular block has a square base. The length of each side of the base is (√3 - √2)m and volume of the block is (4√2 - 3√3) cubic metre. Find the height of the block in the form (a√2 + b√3) where a and b are constants.
*√ = square root or under root :) Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! h(sqrt(3)-sqrt(2))^2=4sqrt(2)-3sqrt(3)
h(5-2sqrt(3)(sqrt(2))=...
h=(4sqrt(2)-3sqrt(3))/(5-2sqrt(6))
=(4sqrt(2)-3sqrt(3))/(5-2sqrt(6)) * (5+2sqrt(6))/(5+2sqrt(6)) rationalize the denominator.
=sqrt(3)+2sqrt(2)
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Ed
