Question

simplify... (3+√2)(4+√7)​

Answer 1

$(3 + \sqrt{2} )(4 + \sqrt{7} ) \\ 3 \times 4 + 3 \sqrt{7} + 4 \sqrt{2} + \sqrt{14} \\ 12 + 3 \sqrt{7} + 4 \sqrt{2} + \sqrt{14} \\ 12 + 3 \sqrt{7} + 4 \sqrt{2} + \sqrt{2} \times \sqrt{7}$

Answer 2

Answer:

$\boxed { \huge\red{\boxed {\bold{Question}}}}$

• Given :
• (3+√2)(4+√7) Simplify !

$\boxed{ \boxed{\red{\huge{Solution}}}}$

• To simplify it we need to multiply the both terms so as to convert it into the simplest form ✓

$= > (3 + \sqrt{2} )(4 + \sqrt{7} )$

• Multiplying it

$= > 3 \times 4 + 3 \times \sqrt{7} + 4 \times \sqrt{2} + \sqrt{2} \times \sqrt{7}$

$= > 12 + 3 \sqrt{7} + 4 \sqrt{2} + 14 \\ ( \green{because \: roots \: get \:cancled \: out \: }$

$= > \red{26 + 4 \sqrt{2} + 3 \sqrt{7} }$

• Hence its the result ✓