Réitigh (4sqrt{2}-sqrt{14})(4sqrt{2}+sqrt{14})

$$( 4 \sqrt { 2 } - \sqrt { 14 } ) ( 4 \sqrt { 2 } + \sqrt { 14 } )$$

Luacháil

$$18$$

Céimeanna Réitigh

Is féidir iolrúchán a athrú ó bhonn go dtí difríocht na gcearnóg ag úsáid na rialach seo: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\left(4\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

Fairsingigh \left(4\sqrt{2}\right)^{2}

$$4^{2}\left(\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

Ríomh cumhacht 4 de 2 agus faigh 16.

$$16\left(\sqrt{2}\right)^{2}-\left(\sqrt{14}\right)^{2}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$16\times 2-\left(\sqrt{14}\right)^{2}$$

Méadaigh 16 agus 2 chun 32 a fháil.

$$32-\left(\sqrt{14}\right)^{2}$$

Is é 14 uimhir chearnach \sqrt{14}.

$$32-14$$

Dealaigh 14 ó 32 chun 18 a fháil.

$$18$$

Fachtóirigh

$$2\times 3^{2}$$