Question

Simplify root 2 + root 3 bracket close root 5 + root 7

Answer 1

(√2+√3)(√5+√7)

√10+√21.

Answer 2

Answer:

$\sqrt{10}+ \sqrt{14} +\sqrt{15}+ \sqrt{21}$

Step-by-step explanation:

Here, the given expression is,

$(\sqrt{2} + \sqrt{3} )(\sqrt{5} + \sqrt{7} )$

$=\sqrt{2}\times \sqrt{5} + \sqrt{2}\times \sqrt{7} +\sqrt{3}\times \sqrt{5} + \sqrt{3}\times \sqrt{7}$

( By the distributive property of multiplication )

$=\sqrt{2\times 5}+ \sqrt{2\times 7} +\sqrt{3\times 5}+ \sqrt{3\times 7}$

( Because, √a × √b = √(a×b) )

$=\sqrt{10}+ \sqrt{14} +\sqrt{15}+ \sqrt{21}$