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Negatives and Square Roots

Negatives and Square Roots. = 17. Ask yourself? ‘What number, times itself, equals 289?. Find. Since ( 17 )( 17 ) = 289, the square root of 289 is 17. –. ( –17 ) ( –17 ) = 289. = – 17. Find. ... but, there’s another number,

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Negatives and Square Roots

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  1. Negatives and Square Roots = 17 Ask yourself? ‘What number, times itself, equals 289? Find Since (17)(17) = 289, the square root of 289 is 17... – • (–17) (–17) = 289 = –17 Find ... but, there’s another number, times itself, that also equals 289. When the negative is outside the radical, your answer is negative. – = undefined (not possible) Find You cannot find the square root of a negative number. • There’s no number, times itself, that equals a negative number. When the negative is inside the radical, your answer is undefined.

  2. Estimating Square Roots ≈ 18 Ask yourself? ‘What number, times itself, equals 340 ? Find nothing Since 340 isn’t a perfect square, what perfect squares are near 340 ? 19 = 18 = 340 Since is a little closer to , the square root of 340 is approximately 18. ≈ –18 Find – – 18 = –19 =

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