How do you evaluate $\sqrt{7 n^{9}} \cdot \sqrt{175 n^{11}}$ $\sqrt { 7n ^ { 9} } \cdot \sqrt { 175n ^ { 11} }$ ?

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How do you evaluate $\sqrt{7 n^{9}} \cdot \sqrt{175 n^{11}}$ $\sqrt { 7n ^ { 9} } \cdot \sqrt { 175n ^ { 11} }$ ?

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Answer 1 · 2018-05-03T19:47:56

$\sqrt{7 n^{9}} \cdot \sqrt{175 n^{11}} = 35 \cdot n^{10}$ $\sqrt(7 n^9)*\sqrt(175 n^11)=35*n^10$

Explanation:

$\sqrt{7 n^{9}} \cdot \sqrt{175 n^{11}} = \sqrt{7 \cdot 175 \cdot n^{9} \cdot n^{11}} =$ $\sqrt(7 n^9)*\sqrt(175 n^11)=\sqrt(7*175*n^9*n^11)=$
$= \sqrt{7 \cdot 175} \cdot \sqrt{n^{9 + 11}} =$ $=\sqrt(7*175)*\sqrt(n^(9+11))=$

$= \sqrt{7 \cdot 5 \cdot 5 \cdot 7} \cdot \sqrt{n^{20}} =$ $= \sqrt(7*5*5*7) *\sqrt(n^20)=$

$= \sqrt{7^{2}} \cdot \sqrt{5^{2}} \cdot n^{\frac{20}{2}} =$ $=\sqrt(7^2)*\sqrt(5^2)*n^(20/2)=$

$= 7 \cdot 5 \cdot n^{10} = 35 \cdot n^{10}$ $=7*5*n^10=35*n^10$

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How do you evaluate $\sqrt{7 n^{9}} \cdot \sqrt{175 n^{11}}$ $\sqrt { 7n ^ { 9} } \cdot \sqrt { 175n ^ { 11} }$ ?

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How do you evaluate $\sqrt{7 n^{9}} \cdot \sqrt{175 n^{11}}$ $\sqrt { 7n ^ { 9} } \cdot \sqrt { 175n ^ { 11} }$ ?