How can i solve it?

Question

asked Apr 28, 2024 165k views

1 Answer

Theron S · Answer 1 · 2024-05-02T01:57:33+0000

Answer:

$8 - \sqrt{\!√(8 + 8)}=6$

Explanation:

We can add operations to the 8's in the left side of the equation:

$8\ ...\ 8\ ...\ 8 =6$

to make the equation true by going through the following logic:

We know that the difference between 8 and 6 is 2.
Using subtraction (the operation that yields difference) is the only way for 6 to result from three 8's because 6 and 8 only share 1 common factor (which happens to be the same as the difference).
We can get the difference, 2, with a double square root of 16, which can be represented as 8 + 8.

Applying this logic to the equation, we get:

$\boxed{8 - \sqrt{\!√(8 + 8)}=6}$

To check the chosen operations, we can simplify the equation:

$\begin{aligned} 8 - \sqrt{\!√(16)} \stackrel{?}= 6 \\ 8-\sqrt4 \stackrel{?}= 6 \\ 8 - 2 \stackrel{?}= 6 \\ 6 \stackrel{\checkmark}= 6\end{aligned}$