\(\left(2\sqrt{7}-2\sqrt{3}+\sqrt{7}\right)\sqrt{7}+2\sqrt{21}\)
\(14-2\sqrt{21}+7+2\sqrt{21}\)
\(21\)
\(=3\sqrt{7}\cdot\sqrt{7}-2\sqrt{3}\cdot\sqrt{7}+2\sqrt{21}\)
=21
\(\left(2\sqrt{7}-2\sqrt{3}+\sqrt{7}\right)\sqrt{7}+2\sqrt{21}\)
\(14-2\sqrt{21}+7+2\sqrt{21}\)
\(21\)
\(=3\sqrt{7}\cdot\sqrt{7}-2\sqrt{3}\cdot\sqrt{7}+2\sqrt{21}\)
=21
a) \(\left(\sqrt{28}-2\sqrt{3}+\sqrt{7}\right)\sqrt{7}+\sqrt{84}\)
b) \(\dfrac{\sqrt{4-2\sqrt{3}}}{\sqrt{6}-\sqrt{2}}\)
Rút gọn các biểu thức sau :
a) \(\sqrt{18\left(\sqrt{2}-\sqrt{3}\right)^2}\) - \(\sqrt{54}\)
b) \(\dfrac{a+\sqrt{ab}}{\sqrt{a}-\sqrt{b}}\) - a\(\sqrt{\dfrac{1}{a}}\)
c) ( \(\sqrt{28}\) - 2\(\sqrt{3}\) +7) \(\sqrt{7}\) +\(\sqrt{84}\)
Thực hiện phép tính:
1/\(\left(3\sqrt{5}-2\sqrt{3}\right)\sqrt{5}+\sqrt{60}\)
2/\(\left(\sqrt{28}-2\sqrt{3}+\sqrt{7}\right)\sqrt{7}+\sqrt{84}\)
Bài 1 :Rút gọn
c,(√28 -2√3+√7) x √7 +√84
d,(√6+c,(5) ^ 2 -√125
e, √150 + √1.6 x √ 60 -√6
Thực hiện phép tính
a) \(\left(3-\sqrt{3}\right)\left(-2\sqrt{3}\right)+\left(3\sqrt{3}+1\right)^2\)
b) \(\left(3\sqrt{5}-2\sqrt{3}\right).\sqrt{5}+\sqrt{60}\)
c) \(\left(\sqrt{28}-2\sqrt{3}+\sqrt{7}\right).\sqrt{7}+\sqrt{84}\)
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\(\left(\sqrt{7}-\sqrt{3}\right)^2+\sqrt{84}\)
Rút gọn
a)\(\frac{1}{2}\sqrt{12}+3\sqrt{\frac{1}{2}}+\)\(2\sqrt{3}\)
b)\(\sqrt{45}-2\sqrt{18}+\sqrt{20}-3\sqrt{72}\)
c)\(\left(3+\sqrt{3}\right).2\sqrt{3}-\left(2\sqrt{3}-4\right)^2\)
d)\(\left(\sqrt{7}-\sqrt{28}+2\sqrt{3}\right).\sqrt{7}+\sqrt{84}\)
e)\(\left(\sqrt{2}+\sqrt{3}\right)^2-\sqrt{96}\)
rút gọn
a)3 √5 + √20-2 √5
b)2 √2+ √8+ √50
c) 4√3+ √ 27 -√45 +2 √5
d) √ 75+ √ 48- √300
e)( √28- √12- √7) √7 +2 √21
f)( √99- √18- √11) √11+3 √22
g)3 √45-5 √125x +7 √20x+28(x>=0)
(√63-2√28+3√7).√7