How do you simplify $8 \sqrt{50 c^{6}}$ $8\sqrt { 50c ^ { 6} }$ ?

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Answer 1 · 2017-10-15T14:43:53

The answer is $40 \sqrt{2} c^{3}$ $40sqrt(2)c^3$ .

$\sqrt{n} = n^{\frac{1}{2}}$ $sqrtn=n^(1/2)$

Using this, rewrite the variable as $8 \cdot {(50 c^{6})}^{\frac{1}{2}}$ $8*(50c^6)^(1/2)$

Since ${(a^{n})}^{\frac{1}{m}} = a^{\frac{n}{m}}$ $(a^n)^(1/m)=a^(n/m)$ ,

$:.8*sqrt(50)c^(6/2)$

$=8*5sqrt(2)c^3$

$=40sqrt(2)c^3$ . (Answer).

How do you simplify 8\sqrt { 50c ^ { 6} }8√50c68\sqrt { 50c ^ { 6} }?