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Question 1 of 6
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Imaginary numbers have the properties i=√-1i=√−1 or i2=-1i2=−1.
Remove the negative from the root in √-36√−36 and then simplify.
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√-1×√36√−1×√36 |
Separate out the √-1√−1 from the root. |
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i×√36 |
Replace √-1 with i. |
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i×(√36) |
Simplify √36. |
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i×6 |
Rearrange the answer so that the i is on the right-hand side. |
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6i |
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Question 2 of 6
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Imaginary numbers have the properties i=√-1 or i2=-1.
Remove the negative from the root in √-5 and then simplify.
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√-1×√5 |
Separate out the √-1 from the root. |
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i×√5 |
Replace √-1 with i. |
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i×√5 |
Rearrange the answer so that the i is on the right-hand side. |
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i√5 |
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Question 3 of 6
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Imaginary numbers have the properties i=√-1 or i2=-1.
Remove the negative from the root in √-48 and then simplify.
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√-1×√48 |
Separate out the √-1 from the root. |
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i×√48 |
Replace √-1 with i. |
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i×(√48) |
Simplify √48=√16×√3. |
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i×(√16)×(√3) |
Simplify `sqrt(16). |
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i×(4)×(√3) |
Rearrange the answer so that the i is on the right-hand side. |
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4i√3 |
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Question 4 of 6
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Imaginary numbers have the properties i=√-1 or i2=-1.
Remove the negative from the root in √-108 and then simplify.
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√-1×√108 |
Separate out the √-1 from the root. |
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i×√108 |
Replace √-1 with i. |
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i×√108 |
√108=√36×√3. |
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i×(√36)×(√3) |
Simplify √36. |
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i×(6)×(√3) |
Rearrange the answer so that the i is on the right-hand side. |
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6i√3 |
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Question 5 of 6
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Imaginary numbers have the properties i=√-1 or i2=-1.
Remove the negative from the root in √-10 and √-15 and then simplify.
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√-1×√10×√-1×√15 |
Separate out the √-1 from the root. |
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i×√10×i×√15 |
Replace √-1 with i. |
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i×(√5×√2)×i×(√5×√3) |
√10=√5×√2 and √15=√5×√3. |
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-1×5×√6 |
Simplify. |
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-5√6 |
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Question 6 of 6
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Imaginary numbers have the properties i=√-1 or i2=-1.
Remove the negative from the root in √-14 and then simplify.
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√-1×√14 |
Separate out the √-1 from the root. |
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i×√14 |
Replace √-1 with i. |
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i×1√4 |
Simplify √14. |
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i×12 |
Rearrange the answer so that the i is on the right-hand side. |
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12i |
