Question

Ex 3 d) pag 77 d)(2-v3/4)(2+v3/4)

v=radical
/=deasupra​

Answer 1

Răspuns: $\color {CC0000}\Large\boxed{ \bf \dfrac{61}{16}}~~~sau~~~\boxed{ \bf 3\dfrac{13}{16}}$

Explicație pas cu pas:

Salutare!

$\color{red}\Large \boxed{\boxed{\bf Formula: \bigg(a-b\bigg)\cdot \bigg(a+b \bigg) = a^{2} -b^{2}}}$

$\large \bf \Bigg(2-\dfrac{\sqrt{3} }{4} \Bigg)\cdot \Bigg(2+\dfrac{\sqrt{3} }{4} \Bigg) =\bigg(2 \bigg)^{2}- \Bigg(\dfrac{\sqrt{3} }{4} \Bigg)^{2} =$

$\large \bf 4-\dfrac{(\sqrt{3} )^{2}}{4^{2}} = 4-\dfrac{3}{16} = \dfrac{(16\cdot 4-3)}{16} =\dfrac{64-3}{16} =$

$\color {blue}\large\boxed{ \bf \dfrac{61}{16}}~~~sau~~~\boxed{ \bf 3\dfrac{13}{16}}$

Bafta multa!

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==pav38==