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

問題

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

解法ステップ

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
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 $6x$:
$6x = 6 \times 8 = 48$
Final answer
B. 48

答え

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

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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

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