Question

How do you simplify (5√2+3)(√2–2√3)?

Answer 1

Answer: - 20.64456

Step by step explanation :

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

Multiply each term in the first parenthesis by each term in the second parenthesis (FOIL)

$= > 5 \sqrt{2} \sqrt{2} - 5 \sqrt{2} \times 2 \sqrt{3} + 3 \sqrt{2} - 3 \times 2 \sqrt{3}$

Calculate the product

$= > 10 - 10 \sqrt{6} + 3 \sqrt{2} - 6 \sqrt{3}$

$= > - 20.64456$