5.7 Simplify and use square roots  (Page 5/8)

$\sqrt{36}$

$\sqrt{4}$

$\sqrt{64}$

$\sqrt{144}$

$-\sqrt{4}$

$-\sqrt{100}$

$-\sqrt{1}$

$-\sqrt{121}$

$\sqrt{\mathrm{-121}}$

$\sqrt{\mathrm{-36}}$

$\sqrt{\mathrm{-9}}$

$\sqrt{\mathrm{-49}}$

$\sqrt{9+16}$

$\sqrt{25+144}$

$\sqrt{9}+\sqrt{16}$

$\sqrt{25}+\sqrt{144}$

$\sqrt{70}$

$\sqrt{55}$

$\sqrt{200}$

$\sqrt{172}$

$\sqrt{19}$

$\sqrt{21}$

$\sqrt{53}$

$\sqrt{47}$

$\sqrt{y^2}$

$\sqrt{b^2}$

$\sqrt{49x^2}$

$\sqrt{100y^2}$

$-\sqrt{64a^2}$

$-\sqrt{25x^2}$

$\sqrt{144x^2{y}^2}$

$\sqrt{196a^2{b}^2}$

Landscaping Reed wants to have a square garden plot in his backyard. He has enough compost to cover an area of $75$ square feet. How long can a side of his garden be?

Landscaping Vince wants to make a square patio in his yard. He has enough concrete to pave an area of $130$ square feet. How long can a side of his patio be?

Gravity An airplane dropped a flare from a height of $\mathrm{1,024}$ feet above a lake. How many seconds did it take for the flare to reach the water?

Gravity A hang glider dropped his cell phone from a height of $350$ feet. How many seconds did it take for the cell phone to reach the ground?

Gravity A construction worker dropped a hammer while building the Grand Canyon skywalk, $\mathrm{4,000}$ feet above the Colorado River. How many seconds did it take for the hammer to reach the river?

Accident investigation The skid marks from a car involved in an accident measured $54$ feet. What was the speed of the car before the brakes were applied?

Accident investigation The skid marks from a car involved in an accident measured $216$ feet. What was the speed of the car before the brakes were applied?

Accident investigation An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was $175$ feet. What was the speed of the vehicle before the brakes were applied?

Accident investigation An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was $117$ feet. What was the speed of the vehicle before the brakes were applied?

Decorating Denise wants to install a square accent of designer tiles in her new shower. She can afford to buy $625$ square centimeters of the designer tiles. How long can a side of the accent be?

Decorating Morris wants to have a square mosaic inlaid in his new patio. His budget allows for $\mathrm{2,025}$ tiles. Each tile is square with an area of one square inch. How long can a side of the mosaic be?