Question

Repede PLZ dau coroana!

x:\√125=3√175/25+√28/5

Answer 1

Scoatem separat factori de sub radical

√125=5√5     √175=5√7      √28=2√7

x/5√5=15√7/25+2√7/5

x/5√5=3√7+2√7/5

x/5√5=5√7/5

5x=(5√5)(5√7)

5x=25√35

x=25√35 / 5

x=5√35

Sper că te-am ajutat!

Answer 2

[tex]\it \dfrac{x}{\sqrt{125}} =\dfrac{3\sqrt{175}}{25}+\dfrac{\sqrt{28}}{5} \Rightarrow \dfrac{x}{\sqrt{25\cdot5}} =\dfrac{3\sqrt{25\cdot7}}{25}+\dfrac{\sqrt{4\cdot7}}{5} \Rightarrow \\ \\ \\ \Rightarrow \dfrac{x}{5\sqrt5} =\dfrac{3\cdot5\sqrt7}{25}+\dfrac{2\sqrt7}{5} \Rightarrow \dfrac{x}{5\sqrt5}=\dfrac{3\sqrt7}{5}+\dfrac{2\sqrt7}{5} \Rightarrow \dfrac{x}{5\sqrt5}=\dfrac{5\sqrt7}{5} \\ \\ \\ \Rightarrow \dfrac{x}{5\sqrt5} = \sqrt7 \Rightarrow x = 5\sqrt5\cdot\sqrt7 \Rightarrow x = 5\sqrt{35}[/tex]