Question

Помогите вычислить
√60-( √3 + √5)^2

Answer 1

√60-(3+5+2√15)=2√15-3-5-2√15=-8

Answer 2

√60-( √3 + √5)^2

$sqrt {60} -(sqrt 3 sqrt 5)^2</var>=$</p> <p> </p> <p>                                               <img src=[/tex](a+b)^2 = a^2 + 2ab + b^2" title="sqrt {60} -(sqrt 3 + sqrt 5)^2=" title="(a+b)^2 = a^2 + 2ab + b^2" title="sqrt {60} -(sqrt 3 + sqrt 5)^2=" alt="(a+b)^2 = a^2 + 2ab + b^2" title="sqrt {60} -(sqrt 3 + sqrt 5)^2=" />

 

                                               $sqrt {60} -(sqrt 3 + sqrt 5)^2</var>=$

 

                                               $<var>(a+b)^2 = a^2 + 2ab + b^2" /></var></p> <p> </p> <p>[tex]sqrt {60} -(sqrt 3 ^2+2cdot sqrt 3 cdot sqrt 5+ sqrt 5^2) =$

 

$sqrt {60} - (3 +2cdot sqrt 15+ 5) =$

 

$sqrt {60} - 8 -2cdot sqrt {15}=sqrt {60} - 8 - sqrt {4 cdot 15} = (-8)$