Question

Simplify (root 3 - root 7) 2 is whole square
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Answer 1

Answer:

2√3-2√7

is the correct answer

Answer 2

Hello mate :)

Good Morning , Have a nice day.

$\dashrightarrow \bf ( \sqrt{3} - \sqrt{7} )^{2} \\ \\ \sf Formula \: used \: here - \tt \red{\bigg[ (x - y) ^{2} = {(x)}^{2} + {(y)}^{2} - 2xy \bigg]} \\ \\ \tt \implies \: ( { \sqrt{3}) }^{2} + ( \sqrt{7} ) ^{2} - 2. \sqrt{3} . \sqrt{7} \\ \\ \tt \implies \: 3 + 7 - 2 \sqrt{21} \\ \\ \therefore \tt \red {10 - 2 \sqrt{21} \: \green{ [Ans]}}$

Additional information -

• (a + b)² = a² + b² + 2ab

• a² - b² = (a+b)(a-b)

• (a - b)² = a² + b² - 2ab

• ( x + a ) ( x + b ) = x² + ( a + b )x + ab

• ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

• ( a + b )³ = a³ + b³ + 3ab ( a + b )

Hope this helps you :)

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