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| Question 202104:  Can anyone help with ANY of these? Please!
 
 1.Complete each exercise leaving imaginary answer in i form.
 3 squareroots of -24
 
 2.Complete each exercise leaving imaginary answer in i form.
 (3 - i) + (1 - 2i)
 
 3.Complete each exercise leaving imaginary answer in i form.
 (7 + 3i) - (2 +3i)
 
 4.Complete each exercise leaving imaginary answer in i form.
 The squareroot of -25 + the squareroot of -16 + the squareroot of -9
 = ____
 
 5.Complete each exercise leaving imaginary answer in i form.
 (5 -i)(5 +i)
 
 6.Complete each exercise leaving imaginary answer in i form.
 (-3 - 5i)(-3 + 5i)
 
 7.Complete each exercise leaving imaginary answer in i form.
 5-6i^11
 
 8.Complete each exercise leaving imaginary answer in i form.
 10(4-3i)
 
 9.Complete each exercise leaving imaginary answer in i form.
 i^12 + 1
 
 10.Complete each exercise leaving imaginary answer in i form.
 (5-2i^2)^2
 
 11.Complete each exercise leaving imaginary answer in i form.
 6 / 2i
 
 12.Complete each exercise leaving imaginary answer in i form.
 
 (2 + the square root of -3) (2 - the squareroot of -3)
 ___________________________ ___________________________
 (2)                           (2)
 * It doesn't come out right when i submit it but, each equation is over 2.
 
 13.Complete each exercise leaving imaginary answer in i form.
 
 4 + i
 ________
 3 - 2i
 
 
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! 1.Complete each exercise leaving imaginary answer in i form. 3 squareroots of -24
 = 3sqrt(-24)
 =3*2i*sqrt(6)
 = 6sqrt(6)i
 ====================
 
 2.Complete each exercise leaving imaginary answer in i form.
 (3 - i) + (1 - 2i)
 = 4 - 3i
 =======================
 3.Complete each exercise leaving imaginary answer in i form.
 (7 + 3i) - (2 +3i)
 = 5
 =============================
 4.Complete each exercise leaving imaginary answer in i form.
 The squareroot of -25 + the squareroot of -16 + the squareroot of -9
 = sqrt(-25) + sqrt(-16) + sqrt(-9)
 ---
 = 5i + 4i + 3i
 ---
 = 12i
 =================================
 
 5.Complete each exercise leaving imaginary answer in i form.
 (5 -i)(5 +i)
 = 5^2 - i^2
 = 25 + 1
 = 26
 ====================================
 6.Complete each exercise leaving imaginary answer in i form.
 (-3 - 5i)(-3 + 5i)
 = (-3)^2 - (5i)^2
 = 9 + 25
 = 34
 =====================================
 7.Complete each exercise leaving imaginary answer in i form.
 5-6i^11
 = 6 -6*(-i)
 = 6 + 6i
 =====================================
 8.Complete each exercise leaving imaginary answer in i form.
 10(4-3i)
 = 40 - 30i
 =====================================
 9.Complete each exercise leaving imaginary answer in i form.
 i^12 + 1
 = 1 + 1
 = 2
 ========================================
 10.Complete each exercise leaving imaginary answer in i form.
 (5-2i^2)^2
 = 25 - 20i^2 + (2i)^2
 = 25 + 20 + 4
 = 49
 ========================================
 11.Complete each exercise leaving imaginary answer in i form.
 6 / 2i
 = [6/2i][2i/2i]
 = 12i/-4
 = -3i
 =========================================
 12.Complete each exercise leaving imaginary answer in i form.
 
 (2 + the square root of -3) (2 - the squareroot of -3)
 = 4 - -3
 = 7
 ========================================
 ___________________________ ___________________________
 (2) (2)
 * It doesn't come out right when i submit it but, each equation is over 2.
 13.Complete each exercise leaving imaginary answer in i form.
 (4 + i)/(3-2i)
 ---
 = [(4+i)(3-2i)]/[(3+2i)/(3+2i)]
 ---
 = [(4+i)(3-2i)]/[5]
 = [12+2 +3i-8i]/5
 = [14-5i]/5
 =========================
 Cheers,
 Stan H.
 
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