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What value will come in place of questio...

What value will come in place of question mark(?) in the question
`sqrt? div 6 xx 4 -3 = sqrt25`

A

144

B

12

C

`sqrt12`

D

24

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AI Generated Solution

The correct Answer is:
To solve the equation \( \sqrt{?} \div 6 \times 4 - 3 = \sqrt{25} \), we will follow these steps: ### Step 1: Rewrite the equation Let \( ? = x \). Then, we can rewrite the equation as: \[ \frac{\sqrt{x}}{6} \times 4 - 3 = \sqrt{25} \] ### Step 2: Simplify the right side We know that \( \sqrt{25} = 5 \). Thus, we can rewrite the equation as: \[ \frac{\sqrt{x}}{6} \times 4 - 3 = 5 \] ### Step 3: Isolate the term with the square root Add 3 to both sides of the equation: \[ \frac{\sqrt{x}}{6} \times 4 = 5 + 3 \] This simplifies to: \[ \frac{\sqrt{x}}{6} \times 4 = 8 \] ### Step 4: Multiply both sides by 6 To eliminate the fraction, multiply both sides by 6: \[ 4\sqrt{x} = 8 \times 6 \] This simplifies to: \[ 4\sqrt{x} = 48 \] ### Step 5: Divide both sides by 4 Now, divide both sides by 4: \[ \sqrt{x} = \frac{48}{4} \] This simplifies to: \[ \sqrt{x} = 12 \] ### Step 6: Square both sides To find \( x \), square both sides: \[ x = 12^2 \] This gives: \[ x = 144 \] ### Conclusion Thus, the value that will come in place of the question mark (?) is: \[ \boxed{144} \]
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