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sqrt(324)/1.5=?/sqrt(256)...

`sqrt(324)/1.5=?/sqrt(256)`

A

192

B

432

C

288

D

122

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{\sqrt{324}}{1.5} = \frac{?}{\sqrt{256}} \), we will follow these steps: ### Step 1: Calculate \( \sqrt{324} \) First, we need to find the square root of 324. \[ \sqrt{324} = 18 \] ### Step 2: Divide by 1.5 Next, we will divide the result by 1.5. \[ \frac{18}{1.5} = 12 \] ### Step 3: Calculate \( \sqrt{256} \) Now, we need to find the square root of 256. \[ \sqrt{256} = 16 \] ### Step 4: Set up the equation Now we can set up the equation with the results we found: \[ 12 = \frac{?}{16} \] ### Step 5: Solve for ? To find the value of ?, we will multiply both sides of the equation by 16. \[ ? = 12 \times 16 \] Calculating this gives: \[ ? = 192 \] ### Final Answer Thus, the value of the question mark is: \[ ? = 192 \] ---
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