Question

find the square root of 5+2√6
​

Answer 1

Answer:

√(5+2√6)

(3+2+2√3×√2)

√[(√3+√2) 2]

√3+√2

1.732+1.414

3.146

Answer 2

Answer:

${ \green{√(2)+√(3)}}$

Step-by-step explanation:

$\sf \: To \: find \: square \: root \: of \: surds, \: in \: this \: case \: you \: should \: make \: \\ \sf it \: in \: form \: of$

$\implies \sf \: a^2+b^2+2ab$

$\large \boxed{ \bold {Here}}$

$\implies \sf5+2√(6)$

$\implies \sf√(2)^2+√(3)^2+2√(2)√(3)$

$\implies \sf[√(2)+√(3)]^2$

$\boxed{ \sf \bold{now \: square \: root \: of \: 5+2√(6) \: is}}$

$\implies \sf√{[√(2)+√(3)]^2}$

$\implies \sf√(2)+√(3)$

$\sf \: So \: answer \: is \: \large {\boxed{ \green{√(2)+√(3)}}}$