Question

simplify (5+root 7) (2+root5)

Answer 1

(5+√7)(2+√5)
⇒5(2+√5)+√7(2+√5)
⇒10+5√5+2√7+√35 .

Answer 2

Answer:

$(5+\sqrt7)(2+\sqrt5)=10+5\sqrt 5+2\sqrt7+\sqrt{35}$

Step-by-step explanation:

Given : Expression $(5+\sqrt7)(2+\sqrt5)$

To find : Simplify the expression ?

Solution :

Expression $(5+\sqrt7)(2+\sqrt5)$

Multiply term by term using identity,

$(a+b)(c+d)=ac+ad+bc+bd$

$(5+\sqrt7)(2+\sqrt5)=5\times 2+5\times\sqrt 5+\sqrt7\times 2+\sqrt 7\sqrt 5$

$(5+\sqrt7)(2+\sqrt5)=10+5\sqrt 5+2\sqrt7+\sqrt{35}$

Therefore, $(5+\sqrt7)(2+\sqrt5)=10+5\sqrt 5+2\sqrt7+\sqrt{35}$