Question

Evaluate (root 5 +2 root 2) square -(root 5- root 8) square

Answer 1

Step-by-step explanation:

$\blue{question::}$

${( \sqrt{5} + 2 \sqrt{2} )}^{2} - {( \sqrt{5} - \sqrt{8} )}^{2}$

$we \: know \: that \: {a}^{2} - {b}^{2} equals \: to \\ (a + b)(a - b) \\ thus$

$( \sqrt{5} + 2 \sqrt{2} + \sqrt{5} - \sqrt{4 \times 2} ) \times \\ ( \sqrt{5} + 2 \sqrt{2} - \sqrt{5} + \sqrt{4 \times 2}$

$\violet{here\:2√2\:and√5\:get\:cancelled}$

$(2 \sqrt{5} ) \times (4 \sqrt{2}) \\ 8 \sqrt{10}$

$\blue{thus\:8√10\: is\:your\:answer}$

Answer 2

Answer:

you alredy havw the answer