angelinam0831 angelinam0831
  • 25-02-2019
  • Mathematics
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2±√44 /2


How do you simply this radical

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 25-02-2019

Answer:

depends on whether the 2 divides everything or just the square root

see below

Step-by-step explanation:

2 ±sqrt(44) /2

We know that sqrt(ab) = sqrt(a) sqrt(b)

2 ±sqrt(4*11) /2

2 ±sqrt(4) sqrt(11) /2

{2 ±2 sqrt(11)} /2

Now if the 2 in the denominator is under the entire top

Factor out a 2

2 ( 1±sqrt(11)} /2

Cancel the 2

1±sqrt(11)

If the 2 is just under the sqrt of 44

2±2sqrt(11) /2

Cancel the 2 in the numerator and denominator

2±sqrt(11) /1

2±sqrt(11)

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