Question

Find the value of (root 7+2) (root 7-2)

Answer 1

To find -

Value of -

$\sf{ ( \sqrt{7} + 2 )( \sqrt{7} - 2 ) } \\ \\ \sf{ \implies { ( \sqrt{7} ) ^2 - 2^2 }} \\ \\ \sf{ \implies { 7 - 4 }} \\ \\ \sf{ \implies { 3 }}$

This is the required answer .

AddiTiOnaL InFoRmAtIon -

$\sf{ ( \sqrt{a} ) ^ 2 = a }$

$\sf{ ( \sqrt{a} + \sqrt{b } )( \sqrt{a} - \sqrt{b} ) } \\ \\ \sf{ \implies { a - b }}$

$\sf{ \sqrt{a} \times \sqrt{b} = \sqrt{ab} }$

$\sf{ \dfrac{ \sqrt{a} }{ \sqrt{b} } = \sqrt{ \dfrac{a}{b} } }$

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Answer 2

Answer:

$= 3$

Step-by-step explanation:

$( \sqrt{7} + 2)( \sqrt{7} - 2)$

${( \sqrt{7})}^{2} - {2}^{2}$

$= 7 - 4$

$= 3$

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