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प्रश्न
Write the conjugates of the following complex numbers: `sqrt(2) + sqrt(3) "i"`
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उत्तर
Conjugate of `sqrt(2) + sqrt(3) "i" "is" sqrt(2) - sqrt(3) "i"`
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संबंधित प्रश्न
Write the conjugates of the following complex numbers: 3 + i
Write the conjugates of the following complex number:
`-sqrt(-5)`
Write the conjugates of the following complex numbers: `sqrt(5) - "i"`
Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b:
(1 + 2i)(– 2 + i)
Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: `(3 + 2"i")/(2 - 5"i") + (3 - 2"i")/(2 + 5"i")`
Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: `(2 + sqrt(-3))/(4 + sqrt(-3))`
Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: (2 + 3i)(2 – 3i)
Show that `(-1 + sqrt(3)i)^3` is a real number.
Find the value of 1 + i2 + i4 + i6 + i8 + ... + i20.
Show that `(-1 + sqrt(3) i)^3` is a real number.
Show that `(−1 + sqrt3 i)^3` is a real number.
Simplify the following and express in the form a + ib.
`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`
Show that `(-1 + sqrt3"i")^3` is a real number.
Evaluate the following:
`i^35`
Show that `(- 1 + sqrt3 i)^3` is a real number.
Simplify the following and express in the form a+ib.
`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`
