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hardw0rker
@hardw0rker
August 2022
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Найдите значение выражения [tex] \frac{49x-36y}{7 \sqrt{x} +6 \sqrt{y} } [/tex] , если [tex] \sqrt{x} - \sqrt{y} = 5[/tex]
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Answers & Comments
mrubinov
8 = 4 * 2
675 = 25 * 9 * 3
60 = 4 * 3 * 5
√8 * √675 /√60 = √(4 * 2) * √(25 * 9 * 3)/√(4 * 3 * 5) =
= 2√2 * 15√3 /2(√3 *√5) = 15√2/√5 = 15√10/5 = 3√10
Ответ: 3√10
√8
∗
√675
√60
=
√
4∗2
∗
√
25∗9∗3
√
4∗3∗5
=
=
2
√2
∗5∗3∗
√3
2∗
√3
∗
√5
=
15
√2
√5
=
15
√2
∗
√5
√5
∗
√5
=
15
√10
5
=3
√
10
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Answers & Comments
675 = 25 * 9 * 3
60 = 4 * 3 * 5
√8 * √675 /√60 = √(4 * 2) * √(25 * 9 * 3)/√(4 * 3 * 5) =
= 2√2 * 15√3 /2(√3 *√5) = 15√2/√5 = 15√10/5 = 3√10
Ответ: 3√10
√8∗√675√60=√4∗2∗√25∗9∗3√4∗3∗5== 2√2∗5∗3∗√32∗√3∗√5=15√2√5=15√2∗√5√5∗√5=15√105=3√10