Question

√105×(√15/7 -√37/3 +√21/5

Cần gấp gấp

Answer 1

đề là thế này à bạn:\(\sqrt{105}.\left(\sqrt{\frac{15}{7}}-\sqrt{\frac{37}{3}}+\sqrt{\frac{21}{5}}\right)\)

Answer 2

Ta có:\(\sqrt{105}.\left(\sqrt{\frac{15}{7}}-\sqrt{\frac{37}{3}}+\sqrt{\frac{21}{5}}\right)\)
\(=\sqrt{105}.\frac{\sqrt{15}.\sqrt{3}.\sqrt{5}-\sqrt{37}.\sqrt{7}.\sqrt{5}+\sqrt{21}.\sqrt{3}.\sqrt{7}}{\sqrt{3}.\sqrt{5}.\sqrt{7}}\)
\(=\sqrt{105}.\frac{\sqrt{225}-\sqrt{1295}+\sqrt{441}}{\sqrt{105}}\)
\(=\sqrt{225}-\sqrt{1295}+\sqrt{441}\)
\(=15+21-\sqrt{1295}\)
\(=36-\sqrt{1295}\)
Chúc bạn học tốt!