Tính A=căn(4+2căn3) +căn(4-2căn3) - DocumenTV

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Captcha* Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )

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tính A=căn(4+2căn3) +căn(4-2căn3)

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tính A=căn(4+2căn3) +căn(4-2căn3)

in progress 0 Môn Toán Huy Gia 4 years 2020-10-15T06:01:35+00:00 2 Answers 188 views 0
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  1. dangkhoa dangkhoa 0 2020-10-15T06:03:03+00:00 October 15, 2020 at 6:03 am Reply

    $A=\sqrt[]{4+2\sqrt[]{3}}+\sqrt[]{4-2\sqrt[]{3}}$

    $=\sqrt[]{(\sqrt[]{3})^2+2\sqrt[]{3}.1+1^2}+\sqrt[]{(\sqrt[]{3})^2-2.\sqrt[]{3}.1+1^2}$

    $=\sqrt[]{(\sqrt[]{3}+1)^2}+\sqrt[]{(\sqrt[]{3}-1)^2}$

    $=|\sqrt[]{3}+1|+|\sqrt[]{3}-1|$

    $=\sqrt[]{3}+1+\sqrt[]{3}-1$ (vì √3-1>0)

    $=2\sqrt[]{3}$

  2. Euphemia Euphemia 0 2020-10-15T06:03:15+00:00 October 15, 2020 at 6:03 am Reply

    √( 4 + 2√3 ) + √( 4 – 2√3 )

    = √( 3 +2√3 + 1 ) + √( 3 – 2√3 + 1 )

    = √( √3 + 1 )² + √( √3 – 1 )²

    = | √3 + 1 | + | √3 – 1 |

    = √3 + 1 + √3 – 1

    = 2√3

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