Posted by **herp_derp** on Monday, March 10, 2014 at 11:12pm.

Please help me with this problem.

Simplify.

√(-24 - 10i)

- Algebra II -
**herp_derp**, Monday, March 10, 2014 at 11:17pm
oh, and also, if it is not too much too ask, please include steps and explanations. ty

- Algebra II -
**Steve**, Monday, March 10, 2014 at 11:48pm
√(-24 - 10i)

If you want to find a perfect square which equals -24-10i, it will have to include -5i, so

(a-5i)^2 = -24-10i

a^2 - 10ai - 25 = -24-10i

Hmmm. Looks like a=1

(1-5i)^2 = 1 - 10i - 25 = -24-10i

So,

√(-24 - 10i) = 1-5i or -1+5i

Or, if you use polar form, you can see that

r=26

tanθ = 5/12

the square root has

r = √26

tanθ = (1-(-12/13))/(-5/13) = -5

so, we get the same result.

## Answer This Question

## Related Questions

- Algebra - 1. Simplify the expression: 4√18+5√32 A.45√2 B.32&#...
- Algebra - 1.Simplify the radical expression. √5+6√√5 A.5√...
- algebra 1 help - simplifying square roots 1) find volume of this prism? v=bwh b...
- Algebra - Simplify in terms of i. -8√-25 + 2√-225 Solution: -10i ?
- algebra 1 help - simplifying square roots 1) find volume of this prism? v=bwh b...
- Algebra 2 Answer Check - Simplify by rationalizing each denominator. 1. 2/√...
- Algebra - Check My Work - For Question 1-8 Simplify the Radical Expression...
- Algebra 1B Radical expressions & data analysis - 1. Simplify 2/√5 A. 2/&#...
- Algebra 2 - Can someone help me with this radical expression please? The problem...
- Algebra 2 - Can someone help me simplify this please? The question is 8/√2...

More Related Questions