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Which expression is equivalent to 2x√(441), if x > 0?

a) 23√(11)
b) 6√(222)
c) 2x
d) 822/11

User Jamele
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1 Answer

4 votes

Final answer:

The simplified form of the expression 2x√(441) is 42x, but none of the provided options (a, b, c, d) are equivalent to 42x. It seems there is a mistake in the given options.

Step-by-step explanation:

The expression 2x√(441) can be simplified by finding the square root of 441. Since 441 is a perfect square (21 times 21), the square root of 441 is 21. Thus, the expression simplifies to 2x * 21, which can be further simplified to 42x. The next step is to identify which of the given options is equivalent to 42x:

  • a) 23√(11) is not equivalent to 42x.
  • b) 6√(222) is not equivalent to 42x.
  • c) 2x is not equivalent to 42x since it is missing the multiplication by 21.
  • d) 822/11 is equivalent to 42x because 822 divided by 11 equals 74.7, which does not match 42x.

None of the options given are equivalent to the simplified expression 42x. There seems to be a mistake in the options provided, as none of them match the correct simplification. Therefore, the correct answer is not listed among the options.

User Ishu
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