Finding Square Roots of Non-Perfect Squares
1) Estimate the square root of the following numbers, using the perfect squares method.
a) 12
g) 75 b) 35 h) 5 c) 120 i) 21 d) 44 j) 99 e) 30 k) 90
2) Find the square roots of the following numbers using prime factorization.
a) 400 b) 289 c) 529 d) 484
3 a) Write the numbers in increasing order. f) 145 l) 3
7, 9 , 14 , 5.8, 32 b) Mark the position or approximate position of each value on the number line.
0 1 2 3 4 5 6 7
4) Find each square root using patterns or factorization. Show your work.
a) 6400 b) 576 c) 44 100 d) 0 .
0121
5a) A marching band in the Nova Scotia International Tattoo has 400 members. When the band is in a
square formation, how many musicians would be in each row? How many rows would there be? b) Another marching band in the Nova Scotia International Tattoo has 225 members. When the band is in a
square formation, how many musicians would be in each row? How many rows would there be?
c) The bands merge in the grand finale. In order to form a square, how many musicians would be in each
row? How many rows would there be?
6) A large company has an extra warehouse that they decide to rent out as storage units. They want to divide
the warehouse into 50 congruent square storage spaces to rent to people. If the warehouse is rectangular
in shape and has a floor space of 800 m 2 , what are the dimensions of each storage unit?
Finding Square Roots of Non-Perfect Squares
1) Estimate the square root of the following numbers, using the perfect squares method.
a) 12 b) 35 c) 120 d) 44 e) 30 f) 145
g) 75 h) 5 i) 21 j) 99 k) 90 l) 3
2) Find the square roots of the following numbers using prime factorization.
a) 400 b) 289 c) 529 d) 484
3 a) Write the numbers in increasing order.
7, 9 , 14 , 5.8, 32 b) Mark the position or approximate position of each value on the number line.
0 1 2 3 4 5 6 7
4) Find each square root using patterns or factorization. Show your work.
a) 6400 b) 576 c) 44 100 d) 0 .
0121
5a) A marching band in the Nova Scotia International Tattoo has 400 members. When the band is in a
square formation, how many musicians would be in each row? How many rows would there be? b) Another marching band in the Nova Scotia International Tattoo has 225 members. When the band is in a
square formation, how many musicians would be in each row? How many rows would there be?
c) The bands merge in the grand finale. In order to form a square, how many musicians would be in each
row? How many rows would there be?
6) A large company has an extra warehouse that they decide to rent out as storage units. They want to divide
the warehouse into 50 congruent square storage spaces to rent to people. If the warehouse is rectangular
in shape and has a floor space of 800 m
2
, what are the dimensions of each storage unit?