Questions: Solve for (m). [ 18 = sqrtm-1 ] [ m= ]

Transcript text: Solve for $m$. \[ 18=\sqrt{m-1} \] \[ m= \] $\square$ Submit

Solution

Step 1: Isolate the Square Root

The given equation is:

\[ 18 = \sqrt{m-1} \]

To eliminate the square root, we will square both sides of the equation:

\[ 18^2 = (\sqrt{m-1})^2 \]

Step 2: Simplify the Equation

Calculate $18^2$:

\[ 18^2 = 324 \]

So, the equation becomes:

\[ 324 = m - 1 \]

Step 3: Solve for $m$

Add 1 to both sides of the equation to solve for $m$:

\[ 324 + 1 = m \]

\[ m = 325 \]

\[ \boxed{m = 325} \]

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