Question

The factor tree for 1,764 is shown.

A factor tree starts with 1,764 on the top. 1,764 branches down to 2 on the left and 882 on the right. 882 branches down to 2 on the left and 441 on the right. 441 branches down to 9 on the left and 49 on the right. 9 branches down to 3 on the left and 3 on the right. 49 branches down to 7 on the left and 7 on the right.

What is the simplest form of StartRoot 1,764 EndRoot?

21
42
32(72)
22(32)(72)

Answer 1

1764 = 2^2 · 3^2 · 7^2 = (2·3·7)^2 = 42^2, so √1764 = 42.