How do you simplify sqrt ((50^2)-4(13+y))?

1 Answer
ceenik
Apr 24, 2017

sqrt((50^2)-4(13+y))=2 sqrt(612-y)

Explanation:

sqrt((50^2)-4(13+y))

Order of operations.
Exponents first. color(red)((50^2))

sqrt(2500-4(13+y))

Next we multiply. color(red)(-4(13+y))

sqrt(2500-52-4y)

Add or Subtract common variables. color(red)(2500-52)

sqrt(2448-4y)

Take out common factor 4. This is convenient since 4 has a perfect square root. Whenever you are trying to simplify a square root always look for factors in your numbers like 4, 9, 16, etc... anything with a perfect square root.

sqrt(color(red)(4)(612-y))

Complete the square root of 4 and place it outside of the square root.

color(red) "The 2 is now multiplying the square root."
color(red)((2)) (sqrt(612-y))

So,
2 sqrt(612-y)

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