Find the value of $\sqrt{324 imes 529}$.

Question

Find the value of $\sqrt{324 	imes 529}$.

Accepted Answer

**Solution:**

1. We need to find the value of $\sqrt{324 	imes 529}$.

2. Calculate the product inside the square root:
   $$324 	imes 529$$

3. Note that $324 = 18^2$ and $529 = 23^2$.

4. Therefore,
   $$\sqrt{324 	imes 529} = \sqrt{18^2 	imes 23^2} = \sqrt{(18 	imes 23)^2} = 18 	imes 23$$

5. Calculate $18 	imes 23$:
   $$18 	imes 23 = (20 - 2) 	imes 23 = 20 	imes 23 - 2 	imes 23 = 460 - 46 = 414$$

**Answer:** $414$

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