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If a = 5√2 and 2a = , what is the value of x?

Correct answer is '100'. Can you explain this answer?
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If a = 5√2 and 2a = , what is the value of x?Correct answer is '...
Since a = 5√2, one can substitute 5√2 for a in 2a = √2x, giving 10√2 = √2x. Squaring each side of 10√2 = √2x gives which simplifies to  or 200 = 2x. This gives x = 100. To verify, substitute 100 for x and 5√2 for a in the equation 2a = √2x, which yields 2(5√2) =  this is true since
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If a = 5√2 and 2a = , what is the value of x?Correct answer is '100'. Can you explain this answer?
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