SOLUTION: Hello, Can you help me simplify step by step
√4:(48)* 3√4:(3)
( The 4th root of 48 Times the 3 * 4th root of 3 )
The answer comes to 6* 4th root of 9; but i d
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Question 442307: Hello, Can you help me simplify step by step
√4:(48)* 3√4:(3)
( The 4th root of 48 Times the 3 * 4th root of 3 )
The answer comes to 6* 4th root of 9; but i dont know how my teacher got it.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
4th root of 48 * 3 * 4th root (3)
Yeah, tough to write out.
Anyway, you can combine 4th roots. I will call a 4th root qtrt for (quartic root)
If we take 48 down to its prime decomposition we get:
qtrt(2*2*2*2*3)
Notice the 4 2's. Then this is the same thing as qtrt(2^4 * 3).
So we can factor out a qtrt(2^4), which is just 2.
Thus we have
So we have 2 qtrt(3)*3*qtrt(3).
We combine into 2*3 qrt(3 *3).
And this simplifies to
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