4: \(\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}}\)

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

\(=2\sqrt{3}\)

4) \(\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}}\)

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

5) \(\sqrt{5+2\sqrt{6}}+\sqrt{8-2\sqrt{15}}\)

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

\(\sqrt{8+2\sqrt{15}}\)

\(=\sqrt{3+2\sqrt{15}+5}\)

\(=\sqrt{\left(\sqrt{3}\right)^2+2\cdot\sqrt{3}\cdot\sqrt{5}+\left(\sqrt{5}\right)^2}\)

\(=\sqrt{\left(\sqrt{3}+\sqrt{5}\right)^2}\)

\(=\left|\sqrt{3}+\sqrt{5}\right|\)

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

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

=căn (căn 5+căn 3)^2

=căn 5+căn 3

8/15 + 2/3 = 18/15

Rút gọn kết quả thành 6/5

3/7 + 4/8 = 52/56

Rút gọn kết quả thành 13/14

8/15+2/3=8/15+10/15=18/15=6/5

3/7+4/8=24/56+28/56=52/56=13/14

13/14

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

A=\(\sqrt{\left(\sqrt{5}-\sqrt{3}\right)^2}-\sqrt{\left(\sqrt{5}+\sqrt{3}\right)^2}\)

A=\(\sqrt{5}-\sqrt{3}-\sqrt{5}-\sqrt{3}\)

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

\(A=\sqrt{8-2\sqrt{15}}-\sqrt{8+2\sqrt{15}}\)

\(A=\sqrt{\left(\sqrt{5}-\sqrt{3}\right)^2}-\sqrt{\left(\sqrt{5}+\sqrt{3}\right)^2}\)

\(A=\left|\sqrt{5}-\sqrt{3}\right|-\sqrt{5}-\sqrt{3}\)

\(A=\sqrt{5}-\sqrt{3}-\sqrt{5}-\sqrt{3}\)

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

8/15+2/3=18/15

3/7+4/8=52/56=13/14

duyet nha dung 1000000000%

\(A=\sqrt{8-2\sqrt{15}}-\sqrt{8+2\sqrt{15}}\)

\(=\sqrt{3-2\sqrt{3.5}+5}-\sqrt{3+2\sqrt{3.5}+5}\)

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

\(=|3-5|-|3+5|\)

\(=-3+5-3-5\)

\(=-6 \)

\(D=\sqrt{\frac{8+\sqrt{15}}{2}}+\sqrt{\frac{8-\sqrt{15}}{2}}\)

\(\Rightarrow D^2=\frac{8+\sqrt{15}}{2}+\frac{8-\sqrt{15}}{2}+2.\sqrt{\frac{\left(8+\sqrt{15}\right)\left(8-\sqrt{15}\right)}{2.2}}\)

\(=8+2.\sqrt{\frac{64-15}{4}}\)

\(=8+2.\frac{7}{2}=8+7=15\)

\(\Rightarrow D=\sqrt{15}\text{ Hoặc }D=-\sqrt{15}\)

\(\text{Mà }D>0\text{ nên }D=\sqrt{15}\)

D=√8+√152 +√8−√152 

⇒D2=8+√152 +8−√152 +2.√(8+√15)(8−√15)2.2 

=8+2.√64−154 

=8+2.72 =8+7=15

⇒D=√15 Hoặc D=−√15

Mà D>0 nên D=√15

1, Rút gọn rồi tính 

a) \(\frac{4}{5}+\frac{3}{15}\)

= \(\frac{4}{5}+\frac{1}{5}\)

= \(\frac{5}{5}\)

= \(1\)

b) \(\frac{2}{3}+\frac{32}{24}\)

= \(\frac{2}{3}+\frac{4}{3}\)

= \(\frac{6}{3}\)

= \(2\)

c) \(\frac{5}{6}+\frac{15}{18}\)

= \(\frac{5}{6}+\frac{5}{6}\)

= \(\frac{10}{6}\)

= \(\frac{5}{3}\)

2, Tính rồi rút gọn 

a) \(\frac{8}{15}+\frac{2}{3}\)

= \(\frac{8}{15}+\frac{10}{15}\)

= \(\frac{18}{15}\)

= \(\frac{6}{5}\)

b) \(\frac{3}{7}+\frac{4}{8}\)

= \(\frac{24}{56}+\frac{28}{56}\)

= \(\frac{52}{56}\)

= \(\frac{13}{14}\)

Đáp án:

a) 1

b) 2

c) 5/3

Bài 3.Tính rồi rút gọn

a)6/5

b) 13/14

a) 4/5+3/15=4/5+1/5=1

b) 2/3+32/24=2/3+4/3=2

c)5/6+15/18=5/6+5/6=5/3

3.

a)8/15+2/3=18/15=6/5

b)3/7+4/8=52/56=13/14

Nhớ k cho mình đó !

Đã hứa thì phải làm

mn ơi e vít nhầm là tính rồi rút gọn mn sửa lại là rút gọn rùi tính

a: =2/5+3/5=1

b: =1/3+5/6=2/6+5/6=7/6

c: =7/8+5/8=12/8=3/2

d: =2/3+2/10

=20/30+6/30

=26/30=13/15

e: =1/2+1/3

=3/6+2/6

=5/6

f: =2/7+1/6

=12/42+7/42

=19/42