Thursday

January 29, 2015

January 29, 2015

Posted by **haritha** on Friday, June 6, 2014 at 8:44pm.

- math -
**Steve**, Saturday, June 7, 2014 at 6:15am√(1+i)/√(1-i)

= √(1+i)√(1-i) / (1-i)

= √(1-i^2) / (1-i)

= √2/(1-i)

= √2(1+i) / (1-i)(1+i)

= √2(1+i)/2

= 1/√2 + 1/√2 i

a = 1/√2

b = 1/√2

a^2+b^2 = 1/2 + 1/2 = 1

- math -
**Steve**, Saturday, June 7, 2014 at 11:59amor, using de Moivre's rule,

1+i = √2 cis π/4

so √(1+i) = ∜2 cis π/8

1-i = √2 cis -π/4

so √(1-i) = ∜2 cis -π/8

√(1+i)/√(1-i) = cis π/4

Now the angle doesn't matter, since cos^2+sin^2 = 1

**Answer this Question**

**Related Questions**

Math - When Synthetically dividing to find a real root out of all Possible Roots...

Math simplifying mixed radicals - Please help me simplify these following mixed ...

Math ~CHECK MY ANSWER~ - 1) Which of these is a rational number? a. Pi b. Square...

Algebra - Rationalize each expression by building perfect nth root factors for ...

maths - prove that : 3^-3 * 6^2 * root 98 divided by 5 ^2 * cube root 1/25 * 15...

math - simplify square 48/square6 square root(48) is the same as sq root (8) x ...

Math simplifying mixed radicals - Please help me simplify these following mixed...

Math - Just need some help... Directions: Multiply or raise to the power as ...

Math - Rationalize the denominator. Assume that all expressions under radicals ...

maths - prove that : 3^-3 * 6^2 * root 98 / 5^2 * cube root 1/25 * 15^-4/3 *3^1/...