Register Now

Login

Lost Password

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: Rút gọn: $\sprt{11+4\sprt{6}}$ $\sprt{14-6\sprt{5}}$

Tháng Hai 2, 2023 Toán học 1 Comment 0 views

Toán Lớp 9: Rút gọn:
$\sprt{11+4\sprt{6}}$
$\sprt{14-6\sprt{5}}$

Comments ( 1 )

  1. cobebongdem
    cobebongdem
    2 Tháng Hai, 2023 at 10:24 sáng
    Reply
    Bài làm :
    \sqrt{11+4\sqrt{6}}
    =\sqrt{8+2.2\sqrt{2}.\sqrt{3}+3}
    =\sqrt{(2\sqrt{2})^2+2.2\sqrt{2}.sqrt{3}+(\sqrt{3})^2}
    =\sqrt{(2\sqrt{2}+\sqrt{3})^2}
    =|2\sqrt{2}+\sqrt{3}|
    =2\sqrt{2}+\sqrt{3}
    $\\$
    \sqrt{14-6\sqrt{5}}
    =\sqrt{9-2.3.\sqrt{5}+5}
    =\sqrt{3^2-2.3.\sqrt{5}+(\sqrt{5})^2}
    =\sqrt{(3-\sqrt{5})^2}
    =|3-\sqrt{5}|
    =3-\sqrt{5}

Leave a reply

222-9+11+12:2*14+14 = ? ( )

Bảo Anh

About Bảo Anh