Question

3root128 / 5root64 pls show the method

Answer 1

☘️Solution:-

$→\;\frac{3 \sqrt{128} }{5 \sqrt{64} } \\ →\; \frac{3(8 \sqrt{2}) }{5( \sqrt{ {8}^{2} }) } \\ →\; \frac{3 \times 8 \sqrt{2} }{5 \times 8} \\ →\; \frac{3 \sqrt{2} }{5} \\ →\; \frac{3}{5} \sqrt{2}$

Value ☞ $\Large\red{\bold{\frac{3\sqrt{2}}{5}}}$

Answer 2

☘️Solution:-

$\begin{gathered} →\;\frac{3 \sqrt{128} }{5 \sqrt{64} } \\ →\; \frac{3(8 \sqrt{2}) }{5( \sqrt{ {8}^{2} }) } \\ →\; \frac{3 \times 8 \sqrt{2} }{5 \times 8} \\ →\; \frac{3 \sqrt{2} }{5} \\ →\; \frac{3}{5} \sqrt{2} \end{gathered} </p><p>$

$→ </p><p>5 </p><p>64</p><p> </p><p> </p><p>3 </p><p>128</p><p> </p><p> </p><p> </p><p> </p><p>→ </p><p>5( </p><p>8 </p><p>2</p><p> </p><p> </p><p> )</p><p>3(8 </p><p>2</p><p> </p><p> )</p><p> </p><p> </p><p>→ </p><p>5×8</p><p>3×8 </p><p>2$

$Value ☞ \Large\red{\bold{\frac{3\sqrt{2}}{5}}} </p><p>5</p><p>3 </p><p>2$