simplify: 4√8 • 5√3 I keep getting 40√6 and its wrong. What am I doing wrong?
You are correct.
Is the 'correct' answer a printed one in a book?
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Easiest way to do it is multiply the outsides then the insides which gives you
20(square root)24
Then simplify
20(square root) 6 • 4
40(square root)6
It looks like you were trying to simplify them first which doesn't work for some reason
= (4√8) * (5√3)
= (4 * 5) * (√8) * (√3)
= (4 * 5) * [√(4 * 2)] * (√3)
= (4 * 5) * [(√4) * (√2)] * (√3)
= (4 * 5) * [2 * (√2)] * (√3)
= (4 * 5) * 2 * (√2) * (√3)
= (4 * 5 * 2) * √(2 * 3)
= 40 * √6
Comments
You are correct.
Is the 'correct' answer a printed one in a book?
Easiest way to do it is multiply the outsides then the insides which gives you
20(square root)24
Then simplify
20(square root) 6 • 4
40(square root)6
It looks like you were trying to simplify them first which doesn't work for some reason
= (4√8) * (5√3)
= (4 * 5) * (√8) * (√3)
= (4 * 5) * [√(4 * 2)] * (√3)
= (4 * 5) * [(√4) * (√2)] * (√3)
= (4 * 5) * [2 * (√2)] * (√3)
= (4 * 5) * 2 * (√2) * (√3)
= (4 * 5 * 2) * √(2 * 3)
= 40 * √6