Question

THIS IS THE FOURTH TIME I'VE ASKED PLEASE ANSWER
√(10 + 4 √(6))
not decimal form

Answer 1

`\huge\boxed{√(10+4\sqrt6)=\sqrt6+2}`

Explanation:

`√(10+4\sqrt6)=√(6+4+(2)(2)(\sqrt6))=\sqrt{\underbrace{(\sqrt6)^2}_(=6)+(2)(2)(\sqrt6)+\underbrace{2^2}_(=4)}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=√((\sqrt6+2)^2)\\\\\text{use}\ √(a^2)=|a|\\\\=|\sqrt6+2|=\sqrt6+2`