Answer:
Yes, \sqrt{2}(\sqrt{3.5} + 2\sqrt{5} )
Step-by-step explanation:
By roots property, the roots can be re-write as multiplications or division, like this:
[tex]\sqrt[n]{a} . \sqrt[n]{b} =\sqrt[n]{ab}[/tex]
Here, we can re-write both roots:
[tex]\sqrt{7} = \sqrt{3.5*2}[/tex] and [tex]\sqrt{10}=\sqrt{2*5}[/tex]
Now we have:
[tex]\sqrt{3.5} * \sqrt{2} + 2 * \sqrt{2} *\sqrt{10}[/tex]
And we can take out the common expression:
[tex]\sqrt{2}(\sqrt{3.5} + 2\sqrt{5} )[/tex] ⇒ Answer
