Question

simplify ;- (root 3 - root 7)^2

Answer 1

Answer:

$( \sqrt{3} - \sqrt{7}) {}^{2} \\ = 3 + 7 - 2\sqrt{21} \\ = 10 - 2 \sqrt{21}$

Here is your solution.

Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

$\sf simplify (\sqrt 3 - \sqrt 7 )^2$

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}$

$\implies\sf (\sqrt 3 - \sqrt 7 )^2$

${\bold{\blue{\boxed{\bf{(a-b)^2 = a^2 + b^2 - 2ab }}}}}$

$\implies\sf ({\sqrt 3}^2 + {\sqrt 7}^2- 2 \times \sqrt 3 \times \sqrt 7 )$

$\implies\sf ({ 3} + {7} - 2 \sqrt 21 )$

$\implies\sf (10 - 2\sqrt 21 )$

$\implies\sf 2(5 - \sqrt 21)$

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${\bold{\blue{\boxed{\bf{Extra\:information }}}}}$

${\bold{\blue{\boxed{\bf{(a-b)^2 = a^2 + b^2 - 2ab }}}}}$

${\bold{\blue{\boxed{\bf{(a+b)^2 = a^2 + b^2 + 2ab }}}}}$

${\bold{\blue{\boxed{\bf{(a-b)(a+b) = a^2 - b^2 }}}}}$

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