Bạn viết đề bằng công thức toán mọi người sẽ hỗ trợ tốt hơn chứ viết thế này khó hiểu quá.

\(\sqrt{5+\sqrt{21}}+\sqrt{5-\sqrt{21}}\) đề thế này phải k bn

\(\dfrac{\sqrt{2}\left(\sqrt{\sqrt{21}+5}+\sqrt{5-\sqrt{21}}\right)}{\sqrt{2}}\)

=\(\dfrac{\sqrt{3+7+2\sqrt{3.7}}+\sqrt{3+7-2\sqrt{21}}}{\sqrt{2}}\)

=\(\dfrac{\sqrt{\left(\sqrt{3}+\sqrt{7}\right)^2}+\sqrt{\left(\sqrt{7}-\sqrt{3}\right)^2}}{\sqrt{2}}\)

=\(\dfrac{\sqrt{3}+\sqrt{7}+\sqrt{7}-\sqrt{3}}{\sqrt{2}}\)

=\(\sqrt{14}\)

Bài 2 : 

a) \(A=\sqrt{8+2\sqrt{7}}-\sqrt{7}=\sqrt{7+2\sqrt{7}+1}-\sqrt{7}\)

\(=\sqrt{\left(\sqrt{7}+1\right)^2}-\sqrt{7}=\left|\sqrt{7}+1\right|-\sqrt{7}=\sqrt{7}+1-\sqrt{7}=1\)

b) \(B=\sqrt{7+4\sqrt{3}}-2\sqrt{3}=\sqrt{4+4\sqrt{3}+3}-2\sqrt{3}\)

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

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

c) \(C=\sqrt{14-2\sqrt{13}}+\sqrt{14+2\sqrt{13}}\)

\(=\sqrt{13-2\sqrt{13}+1}+\sqrt{13+2\sqrt{13}+1}\)

\(=\sqrt{\left(\sqrt{13}-1\right)^2}+\sqrt{\left(\sqrt{13}+1\right)^2}\)

\(=\left|\sqrt{13}-1\right|+\left|\sqrt{13}+1\right|\)

\(=\sqrt{13}-1+\sqrt{13}+1=2\sqrt{13}\)

d) \(D=\sqrt{22-2\sqrt{21}}+\sqrt{22+2\sqrt{21}}\)

\(=\sqrt{21-2\sqrt{21}+1}+\sqrt{21+2\sqrt{21}+1}\)

\(=\sqrt{\left(\sqrt{21}-1\right)^2}+\sqrt{\left(\sqrt{21}+1\right)^2}\)

\(=\left|\sqrt{21}-1\right|+\left|\sqrt{21}+1\right|\)

\(=\sqrt{21}-1+\sqrt{21}+1=2\sqrt{21}\)

bạn j ơi bạn giải đúng k vậy

giúp mình bài  1 ik

1)(1a−√a+1√a−1):√a+1a−2√a+1(1a−a+1a−1):a+1a−2a+1

=(1√a(√a−1)+√a√a(√a−1))⋅(√a−1)2√a+1=(1a(a−1)+aa(a−1))⋅(a−1)2a+1

=√a+1√a(√a−1)⋅(√a−1)2√a+1=a+1a(a−1)⋅(a−1)2a+1

=√a−1√a

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\(\sqrt{32}+10\sqrt{7}+\sqrt{32}-10\sqrt{7}\)

\(=\left(\sqrt{32}+\sqrt{32}\right)+\left(10\sqrt{7}-10\sqrt{7}\right)\)

\(=\sqrt{16\times2}\times2\)

\(=\sqrt{\left(4\right)^2\times2}\times2\)

\(=4\sqrt{2}\times2\)

\(=8\sqrt{2}\)