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Name Date LESSON Class Practice B 119 Solving Radical Equations Solve each equation. Check your answer. X 1. 2. 5 × 11 3 2 11 2 × × 15 × 121 × 3. 3x 5 11 3x 225 3x × 6. 320x 4 6 4 4x 5. 4 2
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How to fill out 11 3 solving radical:

01
Start by identifying the radical in the equation 11 3.
02
Simplify the radical by finding the square root of the radicand, which is 11 in this case.
03
Evaluate the simplified radical expression, which would be the square root of 11.
04
The exact value for the square root of 11 is √11.

Who needs 11 3 solving radical:

01
Individuals studying algebra or mathematical concepts that involve radicals.
02
Students learning about simplifying and evaluating radical expressions.
03
Anyone working on problems or equations that involve square roots and radicals.

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To solve the expression √11 + 3, we first find the square root of 11, which is approximately 3.316. Then we add 3 to this result to get the final answer of approximately 6.316.
It is not clear what you are referring to by "11 3 solving radical." If you are referring to solving a radical equation, then anyone who needs to solve the equation would be required to file it.
To solve a radical expression, such as √11 , you can follow these steps: 1. Start by factoring the number under the square root. In this case, the number is 11. 2. Since 11 is a prime number, it cannot be factored into smaller factors. Therefore, there are no perfect square factors in 11. 3. Next, simplify the square root of 11 by leaving it as it is since it cannot be simplified further. So, √11 is the simplest form of the radical expression.
The purpose of solving a radical expression with a radicand of 11 and a square root (or radical) of 3 is to determine the value of the expression. This involves finding the number that, when squared, equals 11. Since the square root of 3 is involved, it implies that there may be an irrational solution involved. The purpose is to find the exact or approximate value(s) of the unknown number.
To solve a radical equation, the following information must be reported: 1. The original equation: Write down the given equation involving radicals, such as √x + √(x+3) = 5. 2. Steps taken to solve the equation: Describe each step you took to isolate the radical term. This may include squaring both sides of the equation, combining like terms, or simplifying radicals. 3. Justification for each step: Explain why each step is valid and does not introduce extraneous solutions. This may involve referencing properties of radicals, such as the square root property. 4. Solution(s) to the equation: State the final solution(s) to the equation, which may be obtained after simplifying, factoring, or using other algebraic techniques. 5. Check the solution(s): Verify that the obtained solutions satisfy the original equation by substituting them and ensuring the equation holds true. 6. Extraneous solutions (if any): Identify and explain any potential extraneous solutions that arise during the solving process. These are solutions that do not actually satisfy the original equation when substituted back in. Overall, reporting these pieces of information in a clear and organized manner helps ensure the accuracy and understanding of the solution process for a radical equation.
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