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Chapter 8: Q. 479 (page 845)

Why is-64=8ibut-643=-4

Short Answer

Expert verified

The square root of a negative number is not a real number but in case of cube root of negative number, it gives us the real number.

Step by step solution

01

Step 1. Given Information

Given expressions are-64=8iand-643=-4

02

Step 2. Explanation

The square root of a negative number is defined as an imaginary number to include in the complex number. Since -1=i, so, -64=8i

The cubic root of negative one is equal to -1only. Thus the expression is expressed as -643=-4

Hence, explained.

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