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irga5000 [103]
3 years ago
10

{49 \times 7} } " alt=" \sqrt{ \sqrt{49 \times 7} } " align="absmiddle" class="latex-formula">
Try It Well Plz​
Mathematics
2 answers:
yuradex [85]3 years ago
7 0

\sqrt{ \sqrt{49 \times 7} }  \\  =  \sqrt{7 \sqrt{7} }  \\  =  {7}^{ \frac{1}{2} }  \times  \sqrt{ {7}^{ \frac{1}{2} } }  \\  =  {7}^{ \frac{1}{2} }  \times  {7}^{ \frac{1}{4} } \\  =  {7}^{ \frac{3}{4} }

Ganezh [65]3 years ago
6 0

Answer:

Step-by-step explanation:

\sqrt{\sqrt{49*7}}=\sqrt{\sqrt{7*7*7}}\\\\=\sqrt{\sqrt{7^{3}}}\\\\=\sqrt{(7^{3})^{\frac{1}{2}}}\\\\=\sqrt{7^{\frac{3}{2}}}\\\\ =(7^{\frac{3}{2}})^{\frac{1}{2}\\\\=7^{\frac{3}{4}}=(7^{3})^{\frac{1}{4}}\\\\=\sqrt[4]{7^{3}}=\sqrt[n]{7*7*7}\\\\=\sqrt[4]{343}

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