subedik836
Answered

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If [tex]\sqrt{3m+1} - 2 = 0[/tex], what is the value of [tex]m[/tex]?

A. 0
B. -1
C. 1
D. 4

Sagot :

GinnyAnswer
Let's solve the equation [tex]\(\sqrt{3m + 1} - 2 = 0\)[/tex] step-by-step.

1. Start with the original equation:
[tex]\[ \sqrt{3m + 1} - 2 = 0 \][/tex]

2. Isolate the square root term by adding 2 to both sides of the equation:
[tex]\[ \sqrt{3m + 1} = 2 \][/tex]

3. To eliminate the square root, square both sides of the equation:
[tex]\[ (\sqrt{3m + 1})^2 = 2^2 \][/tex]
Simplifying the squares gives:
[tex]\[ 3m + 1 = 4 \][/tex]

4. Solve for [tex]\(m\)[/tex] by first subtracting 1 from both sides:
[tex]\[ 3m = 3 \][/tex]

5. Finally, divide both sides of the equation by 3:
[tex]\[ m = 1 \][/tex]

So, the value of [tex]\(m\)[/tex] is [tex]\(1\)[/tex].

Therefore, the correct answer is:
c. 1
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