Given i = − 1 i = \sqrt{-1} i = − 1 , what is 49 + − 4 \sqrt{49} + \sqrt{-4} 49 + − 4 ?
7 − 2 i 7 - 2i 7 − 2 i 7 + 2 i 7 + 2i 7 + 2 i 9 i 9i 9 i 2 + 7 i 2 + 7i 2 + 7 i 49 = 7 \sqrt{49} = 7 49 = 7 and − 4 = 2 i \sqrt{-4} = 2i − 4 = 2 i . So 49 + − 4 = 7 + 2 i \sqrt{49} + \sqrt{-4} = 7 + 2i 49 + − 4 = 7 + 2 i .
Show the answer Given i = − 1 i = \sqrt{-1} i = − 1 , what is 81 + − 25 \sqrt{81} + \sqrt{-25} 81 + − 25 ?
5 + 9 i 5 + 9i 5 + 9 i 9 + 5 i 9 + 5i 9 + 5 i 14 i 14i 14 i 9 − 5 i 9 - 5i 9 − 5 i 81 = 9 \sqrt{81} = 9 81 = 9 and − 25 = 5 i \sqrt{-25} = 5i − 25 = 5 i . So 81 + − 25 = 9 + 5 i \sqrt{81} + \sqrt{-25} = 9 + 5i 81 + − 25 = 9 + 5 i .
Show the answer Given i = − 1 i = \sqrt{-1} i = − 1 , what is 4 + − 16 \sqrt{4} + \sqrt{-16} 4 + − 16 ?
4 + 2 i 4 + 2i 4 + 2 i 6 i 6i 6 i 2 − 4 i 2 - 4i 2 − 4 i 2 + 4 i 2 + 4i 2 + 4 i 4 = 2 \sqrt{4} = 2 4 = 2 and − 16 = 4 i \sqrt{-16} = 4i − 16 = 4 i . So 4 + − 16 = 2 + 4 i \sqrt{4} + \sqrt{-16} = 2 + 4i 4 + − 16 = 2 + 4 i .
Show the answer Given i = − 1 i = \sqrt{-1} i = − 1 , what is 64 + − 1 \sqrt{64} + \sqrt{-1} 64 + − 1 ?
8 − i 8 - i 8 − i 8 + i 8 + i 8 + i 1 + 8 i 1 + 8i 1 + 8 i 9 i 9i 9 i 64 = 8 \sqrt{64} = 8 64 = 8 and − 1 = i \sqrt{-1} = i − 1 = i . So 64 + − 1 = 8 + i \sqrt{64} + \sqrt{-1} = 8 + i 64 + − 1 = 8 + i .
Show the answer Given i = − 1 i = \sqrt{-1} i = − 1 , what is 100 + − 49 \sqrt{100} + \sqrt{-49} 100 + − 49 ?
10 − 7 i 10 - 7i 10 − 7 i 10 + 7 i 10 + 7i 10 + 7 i 7 + 10 i 7 + 10i 7 + 10 i 17 i 17i 17 i 100 = 10 \sqrt{100} = 10 100 = 10 and − 49 = 7 i \sqrt{-49} = 7i − 49 = 7 i . So 100 + − 49 = 10 + 7 i \sqrt{100} + \sqrt{-49} = 10 + 7i 100 + − 49 = 10 + 7 i .
Show the answer Given i = − 1 i = \sqrt{-1} i = − 1 , what is 36 + − 81 \sqrt{36} + \sqrt{-81} 36 + − 81 ?
6 + 9 i 6 + 9i 6 + 9 i 15 i 15i 15 i 9 + 6 i 9 + 6i 9 + 6 i 6 − 9 i 6 - 9i 6 − 9 i 36 = 6 \sqrt{36} = 6 36 = 6 and − 81 = 9 i \sqrt{-81} = 9i − 81 = 9 i . So 36 + − 81 = 6 + 9 i \sqrt{36} + \sqrt{-81} = 6 + 9i 36 + − 81 = 6 + 9 i .
Show the answer Given i = − 1 i = \sqrt{-1} i = − 1 , what is 49 − − 16 \sqrt{49} - \sqrt{-16} 49 − − 16 ?
7 + 4 i 7 + 4i 7 + 4 i 11 i 11i 11 i 7 − 4 i 7 - 4i 7 − 4 i 3 i 3i 3 i 49 = 7 \sqrt{49} = 7 49 = 7 and − 16 = 4 i \sqrt{-16} = 4i − 16 = 4 i . So 49 − − 16 = 7 − 4 i \sqrt{49} - \sqrt{-16} = 7 - 4i 49 − − 16 = 7 − 4 i .
Show the answer Given i = − 1 i = \sqrt{-1} i = − 1 , what is 121 − − 9 \sqrt{121} - \sqrt{-9} 121 − − 9 ?
8 i 8i 8 i 14 i 14i 14 i 11 − 3 i 11 - 3i 11 − 3 i 11 + 3 i 11 + 3i 11 + 3 i 121 = 11 \sqrt{121} = 11 121 = 11 and − 9 = 3 i \sqrt{-9} = 3i − 9 = 3 i . So 121 − − 9 = 11 − 3 i \sqrt{121} - \sqrt{-9} = 11 - 3i 121 − − 9 = 11 − 3 i .
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