Question

Multiply


Root2+root5+root7 by root2+root5-root7

Answer 1

Answer:

$( \sqrt{2} + \sqrt{5} + \sqrt{7} ) \times ( \sqrt{2} + \sqrt{5} - \sqrt{7} ) \\ ( \sqrt{2} + \sqrt{5} )^{2} - { \sqrt{7} }^{2} \\ 2 + 5 + 2 \sqrt{10} - 7 \\ 7 - 7 + 2 \sqrt{10} \\ 2 \sqrt{10}$

Step-by-step explanation:

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Answer 2

Answer:

2√10

Step-by-step explanation:

(√2+√5+√7)×(√2+√5-√7)

= (√2+√5)^2 - (√7)^2.

{ use (a+b)(a-b)=a^2-b^2 }

= 2+5+2√10-7

= 2√10

Hope it helps :)