Imaginary Numbers

Simplifying Radicals

100

sqrt{-98}

7isqrt{2}

200

2sqrt{-4}

4i

300

-3sqrt{-40

-6isqrt{10}

400

sqrt{-8x^2}

2ixsqrt{2}

500

sqrt{-x^3

ixsqrt{x}

Add/Subtract Imaginary Numbers

100

sqrt{-4}-sqrt{-25}

-3i

200

sqrt{9}+sqrt{-162}+sqrt{16}

7+9isqrt{2}

300

sqrt{121}+sqrt{-49}+sqrt{64}-sqrt{-81}

19-2i

400

-sqrt{1}-sqrt{-20}-sqrt{36}-sqrt{-5}

-7-3isqrt{5}

500

sqrt{100}+sqrt{-8x^8}-sqrt{25}+sqrt{-18x^8}

5+5ix^2sqrt2

Multiply Imaginary Numbers

100

(sqrt81)(sqrt{-9})

27i

200

(6sqrt{16})(sqrt{-49})

168i

300

(4sqrt{-10})(6sqrt{-30})

-240sqrt3

400

(5sqrt{-70})(sqrt40)^2

200isqrt70

500

(7sqrt{-10})(-8sqrt{-7})(sqrt-2)

112isqrt35

Complex Conjugates / Dividing Complex Numbers

100

Find the conjugate of 

-8-5i

-8+5i

200

(-3-10i)(-3+10i)

109

300

(1-sqrt{-4})(1+sqrt{-4})

5

400

(1-sqrt{-2})(1+sqrt{-2})

3

500

frac{13+7i}{-3-10i}

-1+i