Question

find the product (√5+√2)(√5-√2)​

Answer 1

GIVEN :-

• (√5 +√2)(√5 - √2)

TO FIND :-

• The product of (√5 +√2)(√5 - √2)

SOLUTION :-

➣ (√5 +√2)(√5 - √2)

❃ By using (a + b)(a -b) = a² - b²

➣ (√5)² - (√2)²

➣ √25 - √4

➣ 5 - 2

➣ 3

Hence the answer is 3

ADDITIONAL INFORMATION :-

➺ ( a + b ) ( a + b ) = ( a + b )²

➺ ( a - b ) ( a - b ) = ( a - b )²

➺ ( a + b ) ( a - b ) = a² - b²

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

➺ ( x + y )² = x² + 2xy + y²

➺ ( x - y )² = x² - 2xy + y²

Answer 2

Answer:

3

EXPLANATION:-

$( \sqrt{5 + } \sqrt{2} )( \sqrt{5 - \sqrt{2} } )$

THERE ARE 2 METHODS TO SOLVE IT

1) by using identities

2) by using distributive law

1) We f1st solve it by using idenetity:-

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

$= > ( \sqrt{5} + \sqrt{2} ) (\sqrt{5} - \sqrt{2} ) = \sqrt{ {5}^{2} } - \sqrt{ {2}^{2} }$

$= > ( \sqrt{5} + \sqrt{2} )( \sqrt{5} - \sqrt{2} ) = 5 - 2$

$( \sqrt{5} + \sqrt{2} )( \sqrt{5} - \sqrt{2} ) = 3$

2) by distributive law

$= > (\sqrt{5} + \sqrt{2} )( \sqrt{5} - \sqrt{2} )$

$= > ( \sqrt{5} \times \sqrt{5} ) - ( \sqrt{2} \times \sqrt{2} )$

$= > \sqrt{ {5}^{2} } - \sqrt{ {2}^{2} }$

$= > 5 - 2$

$= > 3$

SO THE PRODUCT OF THE GIVEN QUESTION IS 2.

HOPE IT'S CLARIFIES YOU ❣️

HAVE A GREAT DAY ❣️