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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