Answer:
42
Step-by-step explanation:
|--------------1764------------|
| |
2 |-------882-----------|
| |
2 |--------441------|
| |
|------9-----| |----49---|
| | | |
3 3 7 7
From the factor tree we see that
[tex] 1764 = 2^2 \times 3^3 \times 7^2 [/tex]
Now we need to find the square root of 1764.
[tex]\sqrt{1764} = \sqrt{2^2 \times 3^2 \times 7^2} = \sqrt{(2 \times 3 \times 7)^2} = \sqrt{(42)^2} = 42[/tex]
