ColetteR699040 ColetteR699040

04-11-2022
Mathematics

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write the number as the product of a real number and i[tex] \sqrt{ - 25} = [/tex]

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IsmariP479451 IsmariP479451

04-11-2022

first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.

Then, you can write:

[tex]\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i[/tex]

because i = √-1.

Hence, the answer is 5i

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