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2√10 times 3√12 radical expression?



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cwrw238
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2*3 = 6 and √10 * √12 = √120
= 6 √120
now you can simplify √120 by finding its prime factors and checking for perfect squares

WayYay
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Do i have to simplify the 6 too?

cwrw238
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nope

WayYay
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Oh okay

cwrw238
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120 = 2*2*2*3*5

cwrw238
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can you make a square number out of these factors?

WayYay
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i only have one answer that have 6 on the outside of the square root which is 6√120

WayYay
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no by the way

WayYay
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and the others are 12√60 5√120 and 12√30

cwrw238
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ok the square number in the factors is 2*2 = 4
and √4 is 2
so we can write √120 = √4 √30 = 2√30
finally the simplified form is 6 * 2 √30 = 12√30

cwrw238
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do you follow what I have written ?

WayYay
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Thank You So Much ! :T And Yes

cwrw238
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yw