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a) \(\sqrt{16}\cdot\sqrt{25}+\sqrt{196}:\sqrt{49}\)
\(=\sqrt{16\cdot25}+\sqrt{196:49}\)
\(=20+2=22\)
b) \(36:\sqrt{2\cdot3^2\cdot18}-\sqrt{169}\)
\(=36:\sqrt{324}-\sqrt{169}\)
\(=36:18-13=2-13=-11\)
c) \(\sqrt{\sqrt{81}}\)
\(=\sqrt{9}=3\)
d) \(\sqrt{3^2+4^2}\)
\(=\sqrt{9+16}=\sqrt{25}=5\)
a) \(\sqrt{16}.\sqrt{25}+\sqrt{196}\div\sqrt{49}\)
\(=4.5+14:7\)
\(=20+2=22\)
b) \(36:\sqrt{2.3^2.18}-\sqrt{169}\)
\(=36:18-13=-11\)
c) \(\sqrt{\sqrt{81}}=\sqrt{9}=3\)
d) \(\sqrt{3^2+4^2}=\sqrt{25}=5\)
1. \(\sqrt{\left(2\sqrt{3}-3\right)^2}=l2\sqrt{3}-3l=2\sqrt{3}-3\)
2;\(\sqrt{16}.\sqrt{25}+\sqrt{196}:\sqrt{49}=4.5+14:7=20+2=22\)
3; \(36:\sqrt{18^2}-\sqrt{169}=36:18-13=2-13=-11\)
4; \(\sqrt{\sqrt{81}}=\sqrt{9}=3\)
5; \(\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5\)
Đặt \(A=\sqrt{x^2-6x+36}+\sqrt{x^2-6x+64}=18\)
\(B=\sqrt{x^2-6x+64}-\sqrt{x^2-6x+36}\)
\(\Rightarrow A.B=\left(x^2-6x+64\right)-\left(x^2-6x+36\right)=28\)
mà \(A=18\Rightarrow B=\frac{28}{18}=\frac{14}{9}\)
\(36:\sqrt{2.3^2.18-\sqrt{169}}\)
=\(36:\sqrt{2.9.18-13}\)
=\(36:\sqrt{324-13}\)
=\(36:\sqrt{311}\)
=\(\frac{36}{\sqrt{311}}\)
\(\approx2,042\)
(team 6->7 làm bài )
\(\sqrt{8,1}.\sqrt{250}\)
\(=\sqrt{81}.\sqrt{25}\)
\(=9.5\)
\(=45\)
\(\sqrt{2,5}.\sqrt{360}\)
\(=\sqrt{25}.\sqrt{36}\)
\(=5.6\)
\(=30\)
\(\sqrt{\frac{-49}{-121}}=\sqrt{\frac{49}{121}}\)
\(=\frac{\sqrt{49}}{\sqrt{121}}\)
\(=\frac{7}{11}\)
\(\sqrt{\frac{-36}{-169}}=\sqrt{\frac{36}{169}}\)
\(=\frac{\sqrt{36}}{\sqrt{169}}=\frac{6}{13}\)
= 36 : 18 – 13 = - 11