Geometrical Method to Find Square Root of a Number
Simplify:4 √3...
Question
Simplify: 4√3(2√27−4√48)−5√3(√12−3√75).
A
75
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B
48
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C
78
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D
57
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Solution
The correct option is A 75 4√3(2√27−4√48)−5√3(√12−3√75) =4√3(2√3×3×3−4√4×4×3)−5√3(√2×2×3−3√5×5×3) =4√3(2×3√3−4×4√3)−5√3(2√3−3×5√3) =4√3(6√3−16√3)−5√3(2√3−15√3) =4√3(−10√3)−5√3(−13√3) =−40√3×3+65√3×3 =−40×3+65×3=−120+195=75