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The difference of 3/root6 |
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Answer» ong>Step-by-step explanation: Explanation: First put change the words into an equation: √ 3 × √ 6
Now you can multiply them TOGETHER as you would NORMALLY multiply: √ 3 × √ 6 = √ 18
Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
18
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6 3
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2 3
As you can see, we have a SQUARE: 3 × 3 = 9
So take √ 9 out of √ 18 . You should have: √ 9 √ 2
But since √ 9 = 3 we can simplify further to make: √ 9 √ 2 → 3 √ 2Explanation: First put change the words into an equation: √ 3 × √ 6
Now you can multiply them together as you would normally multiply: √ 3 × √ 6 = √ 18
Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
18
/ \
6 3
/ \
2 3
As you can see, we have a square: 3 × 3 = 9
So take √ 9 out of √ 18 . You should have: √ 9 √ 2
But since √ 9 = 3 we can simplify further to make: √ 9 √ 2 → 3 √ 2 |
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