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# Prove this ?

Explain how 4/√2 is equal to 2√2

### 8 Answers

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- Jim MoorLv 71 month ago
You can multiply by (1)

( √2/√2) = (1) so this won't change the value

4/√2 (√2/√2)

= 4√2 / (√2*√2)

= 4√2 /2

= 2√2

- atsuoLv 61 month ago
We know (2√2)*√2 = 2*(√2*√2) = 2*2 = 4 and (4/√2)*√2 = 4 . So

(2√2)*√2 - (4/√2)*√2 = 0

[(2√2) - (4/√2)]*√2 = 0

And we know √2 ≠ 0 so it must be

(2√2) - (4/√2) = 0

That is , 2√2 = 4/√2 .

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