Question

simplify (
$( \sqrt{5} + \sqrt{2}) ^{2}$
​

Answer 1

Answer:

$\huge \: \pink \bigstar \: \rm{ ANSWER : \: }8 + 2 \sqrt{15}$

Step-by-step explanation:

$\huge \: \orange \bigstar \: \rm{ QUESTION : } \\ \\ Simplify \: {( \sqrt{5} + \sqrt{2}) }^{2} </p><p>$

$\huge \: \purple \bigstar \: \rm{HOW \: TO \: SOLVE \: \: ?} \\ \\ Use \: the \: Algebraic \: Identity \: {(a + b)}^{2} = \: {a}^{2} + \: {b}^{2} + 2ab$

$\huge \: \green \bigstar \: \rm{SOLUTION : }$

Putting a = √5

Putting b = √3

We get

${( \sqrt{5} + \sqrt{3} )}^{2} \\ \\ = { \sqrt{5} }^{2} + { \sqrt{3} }^{2} + 2 \times \sqrt{5} \times \sqrt{3} \\ \\ = 5 + 3 + 2 \sqrt{15} \\ \\ = 8 + 2 \sqrt{15}$

$\huge \: \blue \bigstar \: \rm{ ANSWER : \: }8 + 2 \sqrt{15}$