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How do you simplify $\sqrt{- 225 x^{8}}$ $sqrt(-225x^8)$ ?

1 Answer

May 29, 2018

$15 x^{4} i$ $15x^4i$

Explanation:

$\sqrt{- 225 x^{8}}$ $sqrt(-225x^8)$

we will deal with each term separately

$\sqrt{- 225 x^{8}} = \sqrt{- 1} \times \sqrt{225} \times {\sqrt{x}}^{8}$ $sqrt(-225x^8)=sqrt(-1)xxsqrt225xxsqrtx^8$

$= i \times 15 \times x^{4}$ $=ixx15xxx^4$

$15 x^{4} i$ $15x^4i$

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