How do I multiply this? (3√3)(24√3)?
Do I multiply what's inside the radical or just leave it? Add it? For example, would it be 72√3, 72√9 or 72√6?
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Do I multiply what's inside the radical or just leave it? Add it? For example, would it be 72√3, 72√9 or 72√6?
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Verified answer
inside with inside, outside with outside
(3√3)(24√3)
= (3*24)*√(3*3)
= 72√9
= 72*3
= 216
You can also remove the parenthesis and see what's going on.
The √3 just multiply themselves because of distributivity to produce 3.
(3√3)(24√3)
= 3 * √3 * 24 * √3
= 3 * 24 * √3 * √3
= 3 * 24 * (√3)² ;collapse √ and ²
= 3 * 24 * 3
= 24 * 3 * 3
= 24 * 3²
= 24 * 9
= 216
(3 times Square root of 3) times (24 times the square root of 3)
It's all multiplication. (3)(â3)(24)(â3)
or
(3)(24)(â3)(â3)
...
(3)(24)(â3)^2
...
(3)(24)(3)