Question

Express the following in the form a + bi, where a and b are real numbers:


`√(60i - 11)`
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Answer 1

The expression √(60i - 11) can be expressed in the form a + bi by simplifying the square root and rearranging the terms. The expression can be written as (√60 + √11)i.

Step-by-step explanation:

The expression √(60i - 11) can be expressed in the form a + bi by simplifying the square root and rearranging the terms.

First, let's simplify the square root:

√(60i - 11) = √60i + √(-11) = √60i + √11i

Now, let's rearrange the terms:

√60i + √11i = (√60 + √11)i

So, the expression √(60i - 11) can be expressed in the form (√60 + √11)i.