\(\sqrt{9-4\sqrt{5}}+\sqrt{\left(\sqrt{5}+1\right)^2}=\sqrt{5-2.2.\sqrt{5}+4}+\sqrt{5}+1=\sqrt{5}-2+\sqrt{5}+1=2\sqrt{5}-1\)
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Bài 1: Căn bậc hai
Các câu hỏi tương tự
\(\sqrt{7-\sqrt{24}}-\dfrac{\sqrt{50}-5}{\sqrt{10}-\sqrt{5}}+\sqrt{\left(11-\sqrt{120}\right)\left(11+2\sqrt{30}\right)^2}\)
Rút gọn giùm mình với ạ
rút gọn các biểu thức sau:
a,\(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}\)
b,\(\sqrt{6+2\sqrt{5}-\sqrt{29-12\sqrt{5}}}\)
c,\(\sqrt{2+\sqrt{5-\sqrt{13-\sqrt{48}}}}\)
d,\(\left(3-\sqrt{5}\right)\sqrt{3+\sqrt{5}}+\left(3+\sqrt{5}\right)\sqrt{3-\sqrt{5}}\)
Rút gọn biểu thức:
Afrac{1}{sqrt{1}-sqrt{2}}-frac{1}{sqrt{2}-sqrt{3}}+frac{1}{sqrt{3}-sqrt{4}}-frac{1}{sqrt{4}-sqrt{5}}
Bleft(frac{5-sqrt{5}}{sqrt{5}}-2right)left(frac{4}{1+sqrt{5}}+4right)
Cleft(frac{3+2sqrt{3}}{sqrt{3}+2}+frac{2+sqrt{2}}{sqrt{2}+1}right):left(1:frac{1}{sqrt{2}+sqrt{3}}right)
D2sqrt{50}-frac{1}{sqrt{2}-1}+4sqrt{frac{9}{2}}-sqrt{3-2sqrt{2}}
Đọc tiếp
Rút gọn biểu thức:
\(A=\frac{1}{\sqrt{1}-\sqrt{2}}-\frac{1}{\sqrt{2}-\sqrt{3}}+\frac{1}{\sqrt{3}-\sqrt{4}}-\frac{1}{\sqrt{4}-\sqrt{5}}\)
\(B=\left(\frac{5-\sqrt{5}}{\sqrt{5}}-2\right)\left(\frac{4}{1+\sqrt{5}}+4\right)\)
\(C=\left(\frac{3+2\sqrt{3}}{\sqrt{3}+2}+\frac{2+\sqrt{2}}{\sqrt{2}+1}\right):\left(1:\frac{1}{\sqrt{2}+\sqrt{3}}\right)\)
\(D=2\sqrt{50}-\frac{1}{\sqrt{2}-1}+4\sqrt{\frac{9}{2}}-\sqrt{3-2\sqrt{2}}\)
1. Rút gọn
\(\dfrac{1}{\sqrt{5}-1}-\dfrac{4}{\sqrt{5}+1}\)
2. Giải hpt :
\(\left\{{}\begin{matrix}2x+3y=5\\3x+y=4\end{matrix}\right.\)
rÚT GỌN: Gsqrt{3+sqrt{5}}+sqrt{7-3sqrt{6}}-sqrt{2}
chững minh : a) 2sqrt{2}left(sqrt{3}-2right)+left(1+2sqrt{2}right)^2-2sqrt[]{6}9
b)left(3+sqrt{5}right)left(sqrt{10}-sqrt{2}right)sqrt{3-sqrt{5}}8
c)sqrt{dfrac{4}{left(2-sqrt{5}right)^2}}-sqrt{dfrac{4}{left(2+sqrt{5}right)^2}}8
giúp mk với tối mai mk nạp rồi
Đọc tiếp
rÚT GỌN: G=\(\sqrt{3+\sqrt{5}}+\sqrt{7-3\sqrt{6}}-\sqrt{2}\)
chững minh : a) \(2\sqrt{2}\left(\sqrt{3}-2\right)+\left(1+2\sqrt{2}\right)^2-2\sqrt[]{6}=9\)
b)\(\left(3+\sqrt{5}\right)\left(\sqrt{10}-\sqrt{2}\right)\sqrt{3-\sqrt{5}}=8\)
c)\(\sqrt{\dfrac{4}{\left(2-\sqrt{5}\right)^2}}-\sqrt{\dfrac{4}{\left(2+\sqrt{5}\right)^2}}=8\)
giúp mk với tối mai mk nạp rồi
1. Rút gọn \(A=\sqrt{x+\sqrt{2x-1}}-\sqrt{x-\sqrt{2x-1}}\)
2. Tính \(B=\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}}\)
3.Tính \(C=\frac{\sqrt{3-\sqrt{5}}\cdot\left(\sqrt{10}-\sqrt{2}\right)\cdot\left(3+\sqrt{5}\right)}{\left(4+\sqrt{15}\right)\cdot\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}}\)
rút gọn
\(\sqrt{29+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}+5\sqrt{2}\)
\(P=\dfrac{2\sqrt{x}-9}{\left(\sqrt{x}-3\right)\left(\sqrt{x}-2\right)}+\dfrac{2\sqrt{x}+1}{\sqrt{x}-3}-\dfrac{\sqrt{x}+3}{\sqrt{x}-2}\)
a) rút gọn P
b) tìm các giá trị nguyên của x để P có giá trị nguyên
Rút gọn:a) 2sqrt{98}-3sqrt{18}+dfrac{1}{2}sqrt{32}b)left(5sqrt{2}+2sqrt{5}right).sqrt{5}-sqrt{250}c)left(2sqrt{3}-5sqrt{2}right).sqrt{3}-sqrt{36}d)3sqrt{48}+2sqrt{27}-dfrac{1}{3}sqrt{243}e) 6sqrt{dfrac{1}{3}}+dfrac{9}{sqrt{3}}-dfrac{2}{sqrt{3}-1}f)4sqrt{dfrac{1}{2}}-dfrac{6}{sqrt{2}}dfrac{2}{sqrt{2}+1}
Đọc tiếp
Rút gọn:
a) \(2\sqrt{98}-3\sqrt{18}+\dfrac{1}{2}\sqrt{32}\)
b)\(\left(5\sqrt{2}+2\sqrt{5}\right).\sqrt{5}-\sqrt{250}\)
c)\(\left(2\sqrt{3}-5\sqrt{2}\right).\sqrt{3}-\sqrt{36}\)
d)\(3\sqrt{48}+2\sqrt{27}-\dfrac{1}{3}\sqrt{243}\)
e) \(6\sqrt{\dfrac{1}{3}}+\dfrac{9}{\sqrt{3}}-\dfrac{2}{\sqrt{3}-1}\)
f)\(4\sqrt{\dfrac{1}{2}}-\dfrac{6}{\sqrt{2}}\dfrac{2}{\sqrt{2}+1}\)