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11 mark for review if $4\\sqrt{2x} = 16$, what is the value of $6x$? a …

B. 48

分类: algebra 更新时间: 2026-02-04

题目

11 mark for review if $4\\sqrt{2x} = 16$, what is the value of $6x$? a 24 b 48 c 72 d 96

解题步骤

  1. Understand the question

    11 mark for review if $4\\sqrt{2x} = 16$, what is the value of $6x$? a 24 b 48 c 72 d 96

  2. Explanation

    Step1: Isolate the square root term

    Divide both sides by 4:
    $\sqrt{2x} = \frac{16}{4} = 4$

    Step2: Eliminate the square root

    Square both sides of the equation:
    $(\sqrt{2x})^2 = 4^2$
    $2x = 16$

    Step3: Solve for $x$

    Divide both sides by 2:
    $x = \frac{16}{2} = 8$

    Step4: Calculate $6x$

    Substitute $x=8$ into $6x$:
    $6x = 6 \times 8 = 48$

  3. Final answer

    B. 48

答案

Explanation

Step1: Isolate the square root term

Divide both sides by 4:
$\sqrt{2x} = \frac{16}{4} = 4$

Step2: Eliminate the square root

Square both sides of the equation:
$(\sqrt{2x})^2 = 4^2$
$2x = 16$

Step3: Solve for $x$

Divide both sides by 2:
$x = \frac{16}{2} = 8$

Step4: Calculate $6x$

Substitute $x=8$ into $6x$:
$6x = 6 \times 8 = 48$

Answer

B. 48

Question Image

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Question Analysis

Subject mathematics
Sub Subject algebra
Education Level high school
Difficulty unspecified
Question Type multiple choice, calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-04T15:51:31

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11 mark for review if $4\\sqrt{2x} = 16$, what is the value of $6x$? a 24 b 48 c 72 d 96

相关知识点

mathematicsalgebramultiple choice, calculationhigh schoolliked-answerturns-1

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