Question

find the value of (√32 + √48) (√8 + √4)​

Answer 1

Answer:

16 + 8√2 + 8√6 + 8√3

Step-by-step explanation:

$( \sqrt{32} + \sqrt{48} )( \sqrt{8} + \sqrt{4} )$

$( \sqrt{4\times 4\times 2} + \sqrt{4 \times 4 \times 3} )( \sqrt{2 \times 2 \times 2)} + \sqrt{2 \times 2} )$

$(4 \sqrt{2} + 4 \sqrt{3} )(2 \sqrt{2} + 2)$

$(4 \sqrt{2} \times 2 \sqrt{2} ) +( 4 \sqrt{2} \times 2) + (4 \sqrt{3} \times 2 \sqrt{2} ) + (4 \sqrt{3} \times 2)$

$(8 \times 2) + (8 \sqrt{2} ) + (8 \sqrt{6} ) + (8 \sqrt{3} )$

$16 + 8 \sqrt{2} + 8 \sqrt{6} + 8 \sqrt{3}$

Answer is 16 + 8√2 + 8√6 + 8√3