How do you rationalize the denominator and simplify #4sqrt(7/(2z^2))#?
The solution:
The solution:
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To rationalize the denominator and simplify the expression 4√(7/(2z^2)), you can follow these steps:

Start by multiplying both the numerator and denominator by the conjugate of the denominator. In this case, the conjugate of 2z^2 is 2z^2.

Multiply the numerator and denominator by 2z^2: (4√(7/(2z^2))) * (2z^2/2z^2)

Simplify the expression: (4 * 2z^2 * √(7)) / (2z^2)

Multiply the numerator: (8z^2 * √(7)) / (2z^2)

Simplify the expression further by canceling out common factors: 8z^2 * √(7) / 2z^2

Divide the coefficients and simplify: 8/2 = 4

Divide the variables and simplify: z^2/z^2 = 1

The final simplified expression is: 4√(7)
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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