Арифметический корень. Свойство арифметического квадратного корня
Арифметическим квадратным корнем из числа а называется неотрицательное число, квадрат которого равен а.
Пример: Выражения не имеет смысла, так как -25<0; -144< 0
Следствие: при любом а , при котором выражение имеет смысл, верно равенство:
Пример;
Свойства арифметического корня:
Вопросы к конспектам
Упростите выражение: ![begin mathsize 12px style 3 square root of 72 minus 2 square root of 50 plus 3 square root of 8 end 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Выполните действие: ![begin mathsize 12px style square root of а minus square root of а plus 1 end root plus fraction numerator 1 over denominator square root of а plus square root of а plus 1 end root end fraction end 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Вычислите значение выражения: ![begin mathsize 12px style open parentheses 3 square root of 7 comma 5 end root close parentheses squared minus square root of 3 asterisk times square root of 0 comma 12 end root plus fraction numerator square root of 2 over denominator square root of 8 end fraction end 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Вычислите значение корня: ![begin mathsize 12px style square root of 0 comma 87 asterisk times 49 plus 0 comma 82 asterisk times 49 end root end 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Вычислите: ![begin mathsize 12px style square root of 1 24 over 25 end root minus square root of 0 comma 09 end root plus square root of 3 squared plus 4 squared end root end 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Вычислите: ![begin mathsize 12px style open parentheses 7 square root of 5 over 7 end root minus 5 square root of 7 over 5 end root close parentheses squared end 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Упростите выражение: ![begin mathsize 12px style fraction numerator square root of 2 plus 1 over denominator square root of 3 plus 1 end fraction minus fraction numerator square root of 2 minus 1 over denominator square root of 3 minus 1 end fraction end 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Упростите выражение: ![begin mathsize 12px style open parentheses 2 square root of а plus square root of b close parentheses open parentheses square root of a minus 5 square root of b close parentheses end 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Последнее изменение: Воскресенье, 29 Январь 2017, 19:21