Calculate the value of the expression:

$$(\sqrt{80.997} - \sqrt{25.001}) imes (\sqrt{120.90} + \sqrt{16.02}) = ?$$

Question

Calculate the value of the expression:

$$(\sqrt{80.997} - \sqrt{25.001}) 	imes (\sqrt{120.90} + \sqrt{16.02}) = ?$$

Accepted Answer

**Solution:**

1. Approximate the square roots:
   - $\sqrt{80.997} \approx \sqrt{81} = 9$
   - $\sqrt{25.001} \approx \sqrt{25} = 5$
   - $\sqrt{120.90} \approx \sqrt{121} = 11$
   - $\sqrt{16.02} \approx \sqrt{16} = 4$

2. Substitute the approximations into the expression:
   $$ (9 - 5) 	imes (11 + 4) = 4 	imes 15 = 60 $$

**Answer:** $60$

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