Write the number as the product of a real number and i
d="TexFormula1" title=" \sqrt{ - 25} = " alt=" \sqrt{ - 25} = " align="absmiddle" class="latex-formula">
1 answer:
first, consider that 25 = 5^2, and -25 = -1*25 = -1*5^2.
Then, you can write:
![\sqrt[]{-25}=\sqrt[]{(-1)(25)}=\sqrt[]{(-1)(5^2)}=5\sqrt[]{-1}=5i](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B-25%7D%3D%5Csqrt%5B%5D%7B%28-1%29%2825%29%7D%3D%5Csqrt%5B%5D%7B%28-1%29%285%5E2%29%7D%3D5%5Csqrt%5B%5D%7B-1%7D%3D5i)
because i = √-1.
Hence, the answer is 5i
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