Evaluate the radical expression, and express the result in the form a + bi. −8116

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Evaluate the radical expression, and express the result in the form a + bi.  −8116

comentezq · Accepted Answer

The expressions that include nth roots are called radical expressions. The prime factorization of the radicand can be used to simplify the radical expressions. The expression&#039;s radicand must be expressed in factored form.We can subtract one factor from the square root in this situation if the factor has a multiplicity of two. Thus we can write&amp;nbsp;a×a=a. . The expression&amp;nbsp;i=−1&amp;nbsp;Consider the radical expression&amp;nbsp;−81{16}&amp;nbsp;Write 81 and 16 as&amp;nbsp;81=3×3×3×3&amp;nbsp;16=2×2×2×2&amp;nbsp;−8116=−(3×3×3×3)2×2×2×2&amp;nbsp;=3×3−12×2&amp;nbsp;−8116=9i4&amp;nbsp;It can be written in complex number form&amp;nbsp;a+bi&amp;nbsp;as&amp;nbsp;0+94i,&amp;nbsp;So&amp;nbsp;−8116=0+94i

Evaluate the radical expression, and express the result in the form a + bi.

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