# How do you solve #sqrt(4x)=64# and check the solution?

See two solution processes below:

Procedure 1: To remove the radical and maintain the equation's balance, first square both sides of the equation:

Process 2: Applying the following rule, first simplify the radical on the left:

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To solve the equation sqrt(4x) = 64, we need to isolate the variable x.

First, square both sides of the equation to eliminate the square root: (sqrt(4x))^2 = 64^2.

This simplifies to 4x = 4096.

Next, divide both sides of the equation by 4 to solve for x: x = 4096/4.

Simplifying further, x = 1024.

To check the solution, substitute x = 1024 back into the original equation sqrt(4x) = 64.

sqrt(4 * 1024) = 64.

sqrt(4096) = 64.

64 = 64.

Since both sides of the equation are equal, the solution x = 1024 is correct.

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When evaluating a one-sided 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 one-sided 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 one-sided 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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