Answer:
Her reasoning is wrong because she forgot the root of 2. ([tex]\sqrt{2}[/tex])
Step-by-step explanation:
We decompose the number into prime factors
50 = 2*25 = 2*5*5 = 2*(5^2)
Now, we apply the square root of the last term
[tex]\sqrt{2*5^2}[/tex]
This is equal to:
[tex]\sqrt{2}[/tex]*[tex]\sqrt{5^2}[/tex] =
[tex]\sqrt{2}[/tex]*5 = 5[tex]\sqrt{2}[/tex] = 7.071
Which is the same answer as [tex]\sqrt{50}[/tex] = 7.071
