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Chapter 8: Q.51 (page 758)

Why is there no real number equal to -64?

Short Answer

Expert verified

Because square of a negative or positive number is always positive. And square root of a negative number is not real number.

Step by step solution

01

Step 1. Explanation

We have -64.

This can also be written as -1脳64.

We know that -1is an imaginary number and is not real.

So it means this can be written as 64i,i.e.,8i.

Through this we can say that, this is an imaginary number, thus not a real number. So There is no real number equal to-64.

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