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If sqrtx+sqrt9=sqrt64 , what is the valu...

If `sqrtx+sqrt9=sqrt64` , what is the value of x ?

A

`sqrt5`

B

5

C

25

D

55

Text Solution

Verified by Experts

The correct Answer is:
C
The two numerical expressions in the given equation can be simplified as `sqrt9=3` and `sqrt64=8` , so the equation can be rewritten as `sqrtx + 3 = 8`, or `sqrtx` = 5. Squaring both sides of the equation gives x = 25.
Choice A is incorrect and may result from a misconception about how to square both sides of `sqrtx` = 5 to determine the value of x. Choice B is incorrect. The value of `sqrtx` , not x, is 5. Choice D is incorrect and represents a misconception about the properties of radicals. While it is true that 55 + 9 = 64, it is not true that `sqrt55+sqrt9=sqrt64`.
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