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

Answer: 42

Step-by-step explanation: It is right trust me.

Answer 2

42

Explanation:

|--------------1764------------|

| |

2 |-------882-----------|

| |

2 |--------441------|

| |

|------9-----| |----49---|

| | | |

3 3 7 7

From the factor tree we see that

`1764 = 2^2 * 3^3 * 7^2`

Now we need to find the square root of 1764.

`√(1764) = √(2^2 * 3^2 * 7^2) = √((2 * 3 * 7)^2) = √((42)^2) = 42`