How do you simplify $\sqrt{b^{4} c^{5}}$ $sqrt(b^4c^5)$ ?

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How do you simplify $\sqrt{b^{4} c^{5}}$ $sqrt(b^4c^5)$ ?

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Answer 1 · 2018-03-02T23:35:05

$b^{2} c^{\frac{5}{2}}$ $b^2c^(5/2)$

Explanation:

Recall that $\sqrt{x} = x^{\frac{1}{2}} .$ $sqrt(x)=x^(1/2).$

Therefore,

$\sqrt{b^{4} c^{5}} = {(b^{4} c^{5})}^{\frac{1}{2}}$ $sqrt(b^4c^5)=(b^4c^5)^(1/2)$

Recall that ${(x y)}^{z} = x^{z} y^{z}$ $(xy)^z=x^zy^z$ .

Therefore,

${(b^{4} c^{5})}^{\frac{1}{2}} = b^{4 \cdot \frac{1}{2}} \cdot c^{5 \cdot \frac{1}{2}} = b^{2} c^{\frac{5}{2}}$ $(b^4c^5)^(1/2)=b^(4*1/2)*c^(5*1/2)=b^2c^(5/2)$

Answer 2 · 2018-03-03T14:15:29

$sqrt(b^4 c^5$ simplifies to $b^2 c^2$ $sqrtc$

Explanation:

Simplify $sqrt(b^4 c^5$

1) Factor into perfect squares as far as possible

$sqrt((b^2)^2 (c^2)^2 (c)$

2) Find the square roots of the perfect squares, but leave the others inside

$b^2 c^2$ $sqrt(c)$ $larr$ answer

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How do you simplify $\sqrt{b^{4} c^{5}}$ $sqrt(b^4c^5)$ ?

2 Answers

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How do you simplify sqrt(b^4c^5)√b4c5sqrt(b^4c^5)?

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How do you simplify $\sqrt{b^{4} c^{5}}$ $sqrt(b^4c^5)$ ?