Extended Block Placing and Simplifying Square Roots
Name: ______________________ Bk: ____
1.
Find the EXACT length of the diagonal of each rectangle below (and yes, a square is a rectangle).
2.
Predict the length of the diagonal for the rectangle below.
3.
Test your prediction by finding the length of the diagonal for question #2.
4.
A square with a side length of 1 unit has been constructed on the number line below. Using a
compass and straight-edge, place
2 , 3 , 4 , and
5 on the number line.
Prime Factor Trees: Make a prime factor tree and rewrite the number as a product of its prime
factors.
128
640
Simplifying Square Roots:
Step 1: Put into calculator to see if it gives an integer answer.
Step 2: If it doesn’t, make Prime Factor Tree and pull out any “pairs”.
Simplify the square roots below. VERIFY that your answers are equivalent.
√375
20
32
180
√45
600
5.
A rectangle has length of
simplest radical form.
6 inches and a width of
8 inches. Find the area. Write the answer in
6.
A right triangle has a hypotenuse of 70 cm and a leg length of
other leg. Write the answer in simplest radical form.
50 cm. Find the length of the
IAP TEST PREP: Fill in the missing values. Show all work.
24 = __ 6
175 = 5 ___
2 72 = ___ 2