How do you simplify $\sqrt{98 n^{19}}$ $sqrt(98n^19)$ ?

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How do you simplify $\sqrt{98 n^{19}}$ $sqrt(98n^19)$ ?

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Answer 1 · 2016-01-15T13:40:30

$= 7 n^{\frac{19}{2}} \sqrt{2}$ $=7 color(blue)(n^(19/2))sqrt(2)$

Explanation:

$\sqrt{98 n^{19}}$ $sqrt(98n^19)$

Upon prime factorising (simplification):
$98 = 7 \times 7 \times 2$ $98 = 7 xx 7 xx 2$

$\sqrt{98 n^{19}} = \sqrt{7 \times 7 \times 2 \times n^{19}} = \sqrt{7^{2} \times 2 \times n^{19}} = 7 \sqrt{2 \times n^{19}}$ $sqrt(98n^19)= sqrt(7xx7xx2xx n^19) =sqrt(7^2 xx 2xx n^19) =7sqrt(2xx n^19)$

Further, Square root , can also be called as second root so in terms of fraction:
$\sqrt{n^{19}} = n^{19 \times \frac{1}{2}} = n^{\frac{19}{2}}$ $sqrt(n^19)=n^(19xx 1/2) = n^color(blue)(19/2$

The expression now becomes:

$7 \sqrt{2 \times n^{19}} = 7 \times n^{\frac{19}{2}} \sqrt{2}$ $7sqrt(2xx n^19) = 7 xx color(blue)(n^(19/2))sqrt(2)$

$= 7 n^{\frac{19}{2}} \sqrt{2}$ $=7 color(blue)(n^(19/2))sqrt(2)$

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How do you simplify $\sqrt{98 n^{19}}$ $sqrt(98n^19)$ ?

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How do you simplify sqrt(98n^19)√98n19sqrt(98n^19)?

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How do you simplify $\sqrt{98 n^{19}}$ $sqrt(98n^19)$ ?