a)\(\sqrt{75\cdot48}=\sqrt{25\cdot3\cdot48}=\sqrt{25\cdot144}=\sqrt{25}\cdot\sqrt{144}=5\cdot12=60\)

b) \(\sqrt{2,5\cdot14,4}=\sqrt{25\cdot144\cdot\frac{1}{100}}=\sqrt{25}\cdot\sqrt{144}\cdot\sqrt{\frac{1}{100}}=5\cdot12\cdot\frac{1}{10}=6\)

Câu 1 nè

\(\sqrt{11}+6\sqrt{2}-3+\sqrt{2}=\sqrt{11}+7\sqrt{2}-3.\)

Câu 2 nè :

a) đề không rõ.

b) \(\sqrt{75.48}=\sqrt{25.16.3^2}=5.4.3=60\)

90 . 6 , 4 = 9 . 64 = 9 . 64 = 3 . 8 = 24

45 . 80 = 9 . 5 . 5 . 16 = 9 . 5 2 . 16 = 3 . 5 . 4 = 60

75 . 48 = 25 . 3 . 3 . 16 = 25 . 3 2 . 16 = 5 . 3 . 4 = 60

2 , 5 . 14 , 4 = 25 . 1 , 44 = 25 . 1 , 44 = 5 . 1 , 2 = 6

a) \(\sqrt{45.80}=\sqrt{3600}=60\)

b) \(\sqrt{75.48}=\sqrt{3600}=60\)

\(\sqrt{45.80}=\sqrt{9.5.5.16}=\sqrt{9}.\sqrt{5^2}.\sqrt{16}=3.4.5=60\)\(\sqrt{75.48}=\sqrt{25.3.3.16}=\sqrt{25}.\sqrt{3^2}.\sqrt{16}=5.3.4=60\)

a)

b) 

a) ĐS: 2.4.

b) ĐS: 28.

c) HD: Đổi 12,1.360 thành 121.36. ĐS: 66

d) ĐS: 18.

a) \(\sqrt{0,09.64}\)

\(=\sqrt{0,09}.\sqrt{64}\)

\(=0,3.8=2,4\)

b) \(\sqrt{2^4.\left(-7\right)^2}\)

\(=\sqrt{2^4}.\sqrt{\left(-7\right)^2}\)

\(=2^2.7=4.7=28\)

c) \(\sqrt{12,1.360}\)

\(=\sqrt{121.36}\)

\(=\sqrt{121}.\sqrt{36}\)

\(=11.6=66\)

d) \(\sqrt{2^2.3^4}\)

\(=\sqrt{2^2}.\sqrt{3^4}\)

\(=2.3^2=2.9=18\)

a) đáp án :24

b) đáp án :28

c)đáp án :66

d)đáp án:18

a) \(\sqrt{0,09.64}=\sqrt{\left(0,3\right)^2.8^2}=0,3.8=2,4\)

b) \(\sqrt{2^4.\left(-7\right)^2}=\sqrt{\left(2^2\right)^2.\left(-7\right)^2}=2^2.\left|-7\right|=7.4=28\)

c) \(\sqrt{12,1.360}=\sqrt{12,1.10.36}=\sqrt{121.36}=\sqrt{11^2.6^2}=11.6=66\)

d) \(\sqrt{2^2.3^4}=\sqrt{2^2.\left(3^2\right)^2}=2.3^2=9.2=18\)

a) \(\sqrt{0,09\cdot64}=\sqrt{0,09}\cdot\sqrt{64}=0,3\cdot8=2,4\)

b) \(\sqrt{2^4\cdot\left(-7\right)^2}=\sqrt{2^4}\cdot\sqrt{\left(-7\right)^2}=2^2\cdot7=4\cdot7=28\)

c) \(\sqrt{12,1\cdot360}=\sqrt{12,1\cdot10\cdot36}=\sqrt{121\cdot36}=\sqrt{121}\cdot\sqrt{36}=11\cdot6=66\)

d) \(\sqrt{2^2\cdot3^4}=\sqrt{2^2}\cdot\sqrt{3^4}=2\cdot3^2=2\cdot9=18\)