________ 1. √14-6 √5 ________ 2. √16-6 √7

Question

________
1. √14-6 √5
________
2. √16-6 √7

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Kennedy 5 tháng 2021-07-16T16:24:16+00:00 2 Answers 20 views 0

Answers ( )

    0
    2021-07-16T16:25:29+00:00

    Đáp án+Giải thích các bước giải:

     `1)`

    `\sqrt{14-6\sqrt5}`

    `=\sqrt{9-6\sqrt5+5}`

    `=\sqrt{3^2-2.3.\sqrt5+(\sqrt5)^2}`

    `=\sqrt{(3-\sqrt5)^2}`

    `=|3-\sqrt5|`

    `=3-\sqrt5`

    `2)`

    `\sqrt{16-6\sqrt7}`

    `=\sqrt{9-6\sqrt7+7}`

    `=\sqrt{3^2-2.3.\sqrt7+(\sqrt7)^2}`

    `=\sqrt{(3-\sqrt7)^2}`

    `=|3-\sqrt7|`

    `=3-\sqrt7`

    0
    2021-07-16T16:26:02+00:00

    `1)sqrt{14-6sqrt5}`

    `=sqrt{9-2.3.sqrt5+5}`

    `=sqrt{(3-sqrt5)^2}`

    `=|3-sqrt5|`

    `=3-sqrt5`

    `2)sqrt{16-6sqrt7}`

    `=sqrt{9-2.3.sqrt7+7}`

    `=sqrt{(3-sqrt7)^2}`

    `=|3-sqrt7|`

    `=3-sqrt7`.

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