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# Download 10.1 Irrational Numbers filled out - Cole Camp R-1

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Vocabulary • Radicand • Irrational numbers 10.1 Irrational Numbers Irrational numbers • Are numbers that cannot be written as a fraction, a terminating decimal, or repeating decimals. • Examples include: π and 2 • An architect is drawing a landscaping plan which include three square cement blocks with areas of 2 bases approximately 5, 31, and 98𝑓𝑡 . To find the length of a side of each block, she finds the square root of each area. Find the value of each to the nearest hundredth: 5, 31, 98. Find the value of 18 to the nearest hundredth. Theorem • The square root of the product of two nonnegative numbers is the same as the product of their square roots. • 𝑎∙𝑏 = 𝑎∙ 𝑏 Breaking down roots 1. 2. 3. 4. Determine what perfect square divides evenly into your number Break it down into the perfect square the second factor. Work out perfect square Leave the second factor under the root Simplify each expression. • 32 • 300 • 125 • 56 Multiply the expressions, and simplify. • 4 10 −3.1 6 • 3 2 2 10 • (5 9)(3 2) Divide the expressions, and simplify. • 72 2 • −5 33 ÷ 3 22 • 150 6 Homework • 428 #1-30