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Basic Math Examples
√−121⋅√−49
Step 1
Rewrite −121 as −1(121).
√−1(121)⋅√−49
Step 2
Rewrite √−1(121) as √−1⋅√121.
√−1⋅√121⋅√−49
Step 3
Rewrite √−1 as i.
i⋅√121⋅√−49
Step 4
Rewrite −49 as −1(49).
i⋅√121⋅√−1(49)
Step 5
Rewrite √−1(49) as √−1⋅√49.
i⋅√121⋅(√−1⋅√49)
Step 6
Rewrite √−1 as i.
i⋅√121⋅(i⋅√49)
Step 7
Rewrite 121 as 112.
i⋅√112⋅(i⋅√49)
Step 8
Pull terms out from under the radical, assuming positive real numbers.
i⋅11⋅(i⋅√49)
Step 9
Move 11 to the left of i.
11⋅i⋅(i⋅√49)
Step 10
Rewrite 49 as 72.
11i⋅(i⋅√72)
Step 11
Pull terms out from under the radical, assuming positive real numbers.
11i⋅(i⋅7)
Step 12
Move 7 to the left of i.
11i⋅(7⋅i)
Step 13
Step 13.1
Multiply 7 by 11.
77ii
Step 13.2
Raise i to the power of 1.
77(i1i)
Step 13.3
Raise i to the power of 1.
77(i1i1)
Step 13.4
Use the power rule aman=am+n to combine exponents.
77i1+1
Step 13.5
Add 1 and 1.
77i2
77i2
Step 14
Rewrite i2 as −1.
77⋅−1
Step 15
Multiply 77 by −1.
−77