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Simplify the square root of -72
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5 votes
Simplify the square root of -72

Simplify the square root of -72-example-1
User Matthew McPeak
by
9.1k points

1 Answer

3 votes

Answer:

6i
√(2)

Explanation:

Using the rule of radicals


√(a) ×
√(b) =
√(ab) and
√(-1) = i

Given


√(-72)

=
√(36(2)(-1))

=
√(36) ×
√(2) ×
√(-1)

= 6
√(2) × i

= 6i
√(2)

User Ondrej Kvasnovsky
by
8.9k points
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