How root 2 / 2 is equal to 1/ root 2 ??
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Answered by
21
Sqrt(2) * Sqrt(2)/Sqrt(2) yields
Sqrt(2)/( Sqrt(2) * Sqrt(2) ).
Now, multiplying roots by each other yields a square root of the multiplication product of the numbers under the root. So:
Sqrt(2) * Sqrt(2) = Sqrt(4) which equals 2.
So plugging it back in...
Sqrt(2)/( Sqrt(2) * Sqrt(2) ) = Sqrt(2) / (2)
Therefore, in total, Sqrt(1/2) = Sqrt(2) / 2.
It will probably help if you write this out in the proper notation.
Sqrt(2)/( Sqrt(2) * Sqrt(2) ).
Now, multiplying roots by each other yields a square root of the multiplication product of the numbers under the root. So:
Sqrt(2) * Sqrt(2) = Sqrt(4) which equals 2.
So plugging it back in...
Sqrt(2)/( Sqrt(2) * Sqrt(2) ) = Sqrt(2) / (2)
Therefore, in total, Sqrt(1/2) = Sqrt(2) / 2.
It will probably help if you write this out in the proper notation.
anandita2813:
hlo
Answered by
51
Answer:
Step-by-step explanation:
√2/2 can be written as √2/√2×1/√2
√2/√2 is canceled then answer is 1/√2
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