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Chapter 9: Q 51. (page 1042)

Why is there no real number equal to-64?

Short Answer

Expert verified

There is no real number equal to-64 because there is no real number whose square is -64.

Step by step solution

01

Step 1. Given information. 

The given expression is:

-64

02

Step 2. Consider the given expression -64.

-64

We know that if localid="1648193406813" m=n2, then localid="1648193425688" m=n, for localid="1648193431651" n鈮�0.

The square root of localid="1648193439095" m,m, is the positive number whose square is m.

There is no real number whose square is -64.

Therefore, no real number is equal to localid="1648193382436" -64.

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