MCQ
The value of $\left(61^2-11^2\right)^{3 / 2}$ is
- A60
- B3600
- ✓216000
- D$50^3$
✓
Answer
Correct option: C.
216000
(c)
$\left(61^2-11^2\right)^{3 / 2}\\=\{(61+11)(61-11)\}^{3 / 2}\\=(72 \times 50)^{3 / 2}\\=(3600)^{3 / 2}\\=\left(60^2\right)^{3 / 2}\\=60^{2 \times \frac{3}{2}}\\=60^3=216000$
$\left(61^2-11^2\right)^{3 / 2}\\=\{(61+11)(61-11)\}^{3 / 2}\\=(72 \times 50)^{3 / 2}\\=(3600)^{3 / 2}\\=\left(60^2\right)^{3 / 2}\\=60^{2 \times \frac{3}{2}}\\=60^3=216000$
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