Question

What is the following profuct?

( sqrt 14 - sqrt 3) ( sqrt 12 + sqrt 7)

Answer 1

using the distributive law:-

this = sqrt 14 sqrt 12 + sqrt 14 sqrt 7 - sqrt 3 sqrt 12 - sqrt 3 sqrt 7

= sqrt1 68 + sqrt 91 - sqrt 36 - sqrt 21

= sqrt 168 + sqrt 91 - sqrt21 - 6

Answer 2

Answer:
`2√(42)+7√(2)-6-√(21)`

Explanation:

Given

`\left ( √(14)-√(3)\right )\left ( √(12)-√(7)\right )`

using distributive property

`√(14* 12)+√(14* 7)-√(3* 12)-√(3* 7)`

`√(4* 2* 3* 7)-√(7* 7* 2)-√(36)-√(3* 7)`

`2√(42)+7√(2)-6-√(21)`