Algebra

Problem 956

Sir Sagar0

Express in terms of i.

\sqrt{-196}

 

Solution:-

 

First, write -196 as -1 times 196.

\sqrt{-196} = \sqrt{-1(196)}

Next, write \sqrt{-1(196)} as the product of two radicals.

\sqrt{-1(196)} = \sqrt{196}*\sqrt{-1}

Finally, simplify each radical.

\sqrt{196}\sqrt{-1} = 14i

 

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