{"id":7175,"date":"2017-05-09T00:09:07","date_gmt":"2017-05-09T00:09:07","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&p=7175"},"modified":"2024-04-30T16:39:42","modified_gmt":"2024-04-30T16:39:42","slug":"simplify-and-use-square-roots","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/simplify-and-use-square-roots\/","title":{"raw":"Introduction to Simplifying and Using Square Roots","rendered":"Introduction to Simplifying and Using Square Roots"},"content":{"raw":"

What you'll learn to do: Use square roots to simplify expressions and solve application problems<\/h2>\r\n[caption id=\"attachment_13341\" align=\"aligncenter\" width=\"1024\"]\"A<\/a> If you drop an egg off a building, how long will it take to hit the ground?[\/caption]\r\n\r\nIn Mr. Fraser's physics class, the students are doing a messy experiment: They're dropping eggs off the roof of the science building to see how long it takes them to reach the ground. (To minimize cleanup, they've placed tarps down in advance.) Before they conduct the experiment, Mr. Fraser\u00a0asks the students to list the factors that they think will affect the experiment. Most students think\u00a0the egg's weight will partially determine how long it takes to hit the ground. But Mr. Fraser proposes\u00a0that there's actually a simple formula they can use to figure out how long it will take the eggs to reach the ground: the square root of the height the egg is\u00a0dropped from, divided by [latex]4[\/latex]. To find out whether Mr. Fraser is telling the truth, the students will need to simplify expressions with square roots. Read on to find out how to do that.\r\n\r\nBefore you get started, take this readiness quiz.\r\n
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readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]145337[\/ohm_question]\r\n\r\nIf you missed this problem, review this video.\r\n\r\nhttps:\/\/youtu.be\/qB5PZzmjenI\r\n\r\n2)\r\n\r\n[ohm_question]146242[\/ohm_question]\r\n\r\nIf you missed this problem, review the following video.\r\n\r\nhttps:\/\/youtu.be\/qu4Y9DGqXlk\r\n\r\n3)\r\n\r\n[ohm_question]146141[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/BN7iVWWl2y0\r\n\r\n<\/div>","rendered":"

What you’ll learn to do: Use square roots to simplify expressions and solve application problems<\/h2>\n
\"A<\/a><\/p>\n

If you drop an egg off a building, how long will it take to hit the ground?<\/p>\n<\/div>\n

In Mr. Fraser’s physics class, the students are doing a messy experiment: They’re dropping eggs off the roof of the science building to see how long it takes them to reach the ground. (To minimize cleanup, they’ve placed tarps down in advance.) Before they conduct the experiment, Mr. Fraser\u00a0asks the students to list the factors that they think will affect the experiment. Most students think\u00a0the egg’s weight will partially determine how long it takes to hit the ground. But Mr. Fraser proposes\u00a0that there’s actually a simple formula they can use to figure out how long it will take the eggs to reach the ground: the square root of the height the egg is\u00a0dropped from, divided by [latex]4[\/latex]. To find out whether Mr. Fraser is telling the truth, the students will need to simplify expressions with square roots. Read on to find out how to do that.<\/p>\n

Before you get started, take this readiness quiz.<\/p>\n

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readiness quiz<\/h3>\n

1)<\/p>\n