Sunny S.

asked • 08/11/17

options are given below

The square root of x+√(x^2-y^2)
Options:
1. 1/2 ×√(x+y)+√(x-y)
2. √(x+y)+√(x-y)

1 Expert Answer

By:

Kenneth S. answered • 08/11/17

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Sunny S.

Yes, the answer is the first option
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08/11/17

Kenneth S.

I do not see  that the SQUARE ROOT of   x + √(x2-y2) could be either of those options.*
 
And I will attempt to show you that it's not true. Suppose x=5 and y = 3.
Then first let's calculate x + √(x2-y2); it's 5 + √(25-9) = 5 + 4 = 9, and so THE SQUARE ROOT of that is 3.
But the value of the first option will be ½•√(5+3)+√(5-3) = ½•√8 + √2 = 2√2 according to your exact use of grouping symbols.
 
This counter example disproves your contention.  THE ANSWER KEY THAT YOU HAVE BEEN GIVEN MIGHT SAY OPTION 1 IS THE ANSWER, BUT I DO NOT BELIEVE IT.     R.S.V.P.
 
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08/11/17

Arturo O.

When I see this sort of thing, I usually conclude the problem statement was posted incorrectly.
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08/11/17

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