Math, asked by anandita2813, 1 year ago

How root 2 / 2 is equal to 1/ root 2 ??

Answers

Answered by sahilshaikh123
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.



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Answered by vinayake179
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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