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magda21
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Please Help me solve it \[ \sqrt{x}+\sqrt{x+8}=8 \] thanks
A square root is a mathematical operation that finds the number which, when multiplied by itself, gives the original number. It is represented by the symbol √, and the number under the symbol is called the radicand.
To solve an equation with a square root, you need to isolate the square root on one side of the equation and square both sides. This will eliminate the square root and allow you to solve for the variable.
Yes, an equation with a square root can have more than one solution. This is because when you square both sides of the equation, you introduce the possibility of extraneous solutions, which are solutions that do not actually satisfy the original equation.
Yes, an equation with a square root can have a negative solution. This is because when you square both sides of the equation, you eliminate the square root and the resulting equation may have both positive and negative solutions.
Yes, there are a few special rules for solving equations with square roots. These include the rule that if both sides of the equation are squared, the resulting equation may have extraneous solutions, and the rule that when solving for a variable, you must always check your answer by plugging it back into the original equation.