Is the equation 7−4⋅7349√=7

To evaluate the equation \( 7 - 4 \cdot \sqrt{7349} = 7 \), we can start by isolating the term on the left side and seeing if it equals \( 7 \).

First, we'll simplify the left side:

1. Start with the equation:
\[
7 - 4 \cdot \sqrt{7349} = 7
\]

2. Subtract \( 7 \) from both sides:
\[
-4 \cdot \sqrt{7349} = 0
\]

3. To isolate \( \sqrt{7349} \), we multiply both sides by \(-1\):
\[
4 \cdot \sqrt{7349} = 0
\]

4. Now, divide both sides by \( 4 \):
\[
\sqrt{7349} = 0
\]

Since the square root of a positive number cannot be zero, we can conclude that \( \sqrt{7349} \) is not equal to zero. Thus, the left side cannot equal the right side \( 7 \).

Therefore, the equation \( 7 - 4 \cdot \sqrt{7349} = 7 \) is **false**.

**Justification**: The equation implies that \( \sqrt{7349} \) would have to be zero, which is impossible since \( 7349 \) is a positive number.