The equivalent expression of 21√(3)(15) - 9√(3)(15) is 36√5
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
21√(3)(15) - 9√(3)(15)
Express 15 as 3 * 5
21√(3)(15) - 9√(3)(15) = 21√(3)(3 * 5) - 9√(3)(3 * 5)
Evaluate the product of 3 and 3
21√(3)(15) - 9√(3)(15) = 21√(9 * 5) - 9√(9 * 5)
Take the square root of 9
21√(3)(15) - 9√(3)(15) = 21*3√(5) - 9*3√5)
Evaluate the product
21√(3)(15) - 9√(3)(15) = 63√(5) - 27√5)
Evaluate the difference
21√(3)(15) - 9√(3)(15) = 36√5
Hence, the equivalent expression of 21√(3)(15) - 9√(3)(15) is 36√5
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