a) (3x-7)⁵=32

=> (3x-7)⁵=2⁵

=> 3x-7=2

=> 3x=2+7=9

=>x=9:3=3

b) (4x-1)³=27.125

=> (4x-1)³=3³.5³

=> (4x-1)³=(3.5)³

=> (4x-1)³=15³

=> 4x-1=15

(Các bước còn lại tương tự câu a)

a)(3x-7)^5=32

(3x-7)^5=2^5

3x-7=2

3x=2+7

3x=9

x=9:3

x=3

2^x+2^2x+1=96

2^x+2^2x.2¹=96

2^x+2^2x.2=96

2^x+2^2x=96:2

2^x+2^2x=48

\(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}=\sqrt{\left(3-\sqrt{6}\right)^2}+\sqrt{\left(3\sqrt{3}-2\sqrt{2}\right)^2}\)

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

\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}=\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{\left(3+2\sqrt{2}\right)^2}\)

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

\(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}=\sqrt{\left(5-2\sqrt{6}\right)^2}+\sqrt{\left(5+2\sqrt{6}\right)^2}\)

\(=5-2\sqrt{6}+5+2\sqrt{6}=10\)

\(\sqrt{13-\sqrt{160}}+\sqrt{53+4\sqrt{90}}=\sqrt{\left(2\sqrt{2}-\sqrt{5}\right)^2}+\sqrt{\left(3\sqrt{5}+2\sqrt{2}\right)^2}\)

\(=2\sqrt{2}-\sqrt{5}+3\sqrt{5}+2\sqrt{2}=2\sqrt{5}+4\sqrt{2}\)

a: \(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)

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

b: \(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)

\(=3-2\sqrt{2}+3+2\sqrt{2}\)

=6

c: Ta có: \(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)

\(=5-2\sqrt{6}+5+2\sqrt{6}\)

=10

d: Ta có: \(\sqrt{13-\sqrt{160}}+\sqrt{53+4\sqrt{90}}\)

\(=\sqrt{13-4\sqrt{10}}+\sqrt{53+4\sqrt{90}}\)

\(=2\sqrt{2}-\sqrt{5}+3\sqrt{5}+2\sqrt{2}\)

\(=2\sqrt{5}+4\sqrt{2}\)

a) 22+36=58     96−32=64     62−30=32

89−47=42     44+44=88     45−5=40

96 * 37 - 3 * 26 * 32 - 96

= 96 * 37 - 96  * 26  - 96 * 1

= 96 * ( 37 - 26 - 1 - 1 )

= 96 * 10

= 960

=

96 x 37 - 3 x 26 x 32 - 96

= 3552- 3 x 26 x 32 - 96

= 3552 - 78 x 32 -96

= 3552 - 2496 -96

= 1056 - 96

= 960

ủng hộ nhé

ai k mình mình k lại

96 x 37 - 3 x 26 x 32 - 96

= 96 x 37 - 96 x 26 - 96 x 1

=96 x (27-26- 1)

=96 x 0

=0

96:24=4

90:18=5

84:14=7

96:32=3

a, \(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)

= \(\sqrt{3^2-2.3.\sqrt{6}+\left(\sqrt{6}\right)^2}+\sqrt{6^2-2.6.\sqrt{6}+\left(\sqrt{6}\right)^2}\)

= \(\sqrt{\left(3-\sqrt{6}\right)^2}+\sqrt{\left(6-\sqrt{6}\right)^2}\)

= \(\left|3-\sqrt{6}\right|+\left|6-\sqrt{6}\right|\)

= \(3-\sqrt{6}+6-\sqrt{6}\)

= \(9-2\sqrt{6}\)

b. Đặt B = \(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)

Nhận xét : B > 0 , bình phương hai vế ta được :

\(B^2=\left(\sqrt{17-3\sqrt{32}}\right)^2+\left(\sqrt{17+3\sqrt{32}}\right)^2\)

\(B^2=17-3\sqrt{32}+17+3\sqrt{32}+2\sqrt{\left(17-3\sqrt{32}\right)\left(17+3\sqrt{32}\right)}\)

\(B^2=34+2\sqrt{17^2-\left(3\sqrt{32}\right)^2}\)

\(B^2=34+2\sqrt{289-288}\)

\(B^2=34+2=36\)

=> \(B=\pm\sqrt{36}\) mà B > 0 nên \(B=\sqrt{36}=6\)

c, Đặt C = \(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)

Nhận xét : C > 0 , bình phương hai vế ta đươc :

\(C^2=\left(\sqrt{49-5\sqrt{96}}\right)^2+\left(\sqrt{49+5\sqrt{96}}\right)^2\)

\(C^2=49-5\sqrt{96}+49+5\sqrt{96}+2\sqrt{\left(49-5\sqrt{96}\right)\left(49+5\sqrt{96}\right)}\)

\(C^2=98+2\sqrt{49^2-\left(5\sqrt{96}\right)^2}\)

\(C^2=98+2\sqrt{2401-2400}\)

\(C^2=98+2=100\)

=> \(C=\pm\sqrt{100}\) mà C > 0 nên \(C=\sqrt{100}=10\)

a) Ta có: \(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)

\(=\sqrt{9-2\cdot3\cdot\sqrt{6}+6}+\sqrt{27-2\cdot3\sqrt{3}\cdot2\sqrt{2}+8}\)

\(=\sqrt{\left(3-\sqrt{6}\right)^2}+\sqrt{\left(3\sqrt{3}-2\sqrt{2}\right)^2}\)

\(=\left|3-\sqrt{6}\right|+\left|3\sqrt{3}-2\sqrt{2}\right|\)

\(=3-\sqrt{6}+3\sqrt{3}-2\sqrt{2}\)(Vì \(\left\{{}\begin{matrix}3>\sqrt{6}\\3\sqrt{3}>2\sqrt{2}\end{matrix}\right.\))

b) Ta có: \(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)

\(=\frac{\sqrt{34-6\sqrt{32}}+\sqrt{34+6\sqrt{32}}}{\sqrt{2}}\)

\(=\frac{\sqrt{18-2\cdot3\sqrt{2}\cdot4+16}+\sqrt{18+2\cdot3\sqrt{2}\cdot4+16}}{\sqrt{2}}\)

\(=\frac{\sqrt{\left(3\sqrt{2}-4\right)^2}+\sqrt{\left(3\sqrt{2}+4\right)^2}}{\sqrt{2}}\)

\(=\frac{\left|3\sqrt{2}-4\right|+\left|3\sqrt{2}+4\right|}{\sqrt{2}}\)

\(=\frac{3\sqrt{2}-4+3\sqrt{2}+4}{\sqrt{2}}\)(Vì \(3\sqrt{2}>4>0\))

\(=\frac{6\sqrt{2}}{\sqrt{2}}=6\)

=960 mk nhanh nhất nhé

25 m x 2 = 50 m

15 km x 4 = 60 km

34 cm x 6 = 204 cm

36 hm : 3 = 12 hm

70 km : 7 = 10 km

55 dm : 5 = 11dm

25m x2 =50 m

15km x4 =60 km

34 cm x6= 204cm

96cm :3 =32 cm

36hm :3 =12 hm

70km :7 =10 km

55dm :5 =11 dm