Soal 11
Sederhanakan $\large{\sqrt{\sqrt{49}-\sqrt{48}}}$
Solusi
Misalkan $X=\sqrt{49}-\sqrt{48}$
$X=7-4\sqrt{3}$
$X=4+3-2.2.\sqrt{3}$
$X=2^2-2.2.\sqrt{3}+(\sqrt{3})^2$
$X=(2-\sqrt{3})^2$
$\sqrt{X}=2-\sqrt{3}$
Sederhanakan $\large{\sqrt{\sqrt{49}-\sqrt{48}}}$
Misalkan $X=\sqrt{49}-\sqrt{48}$
$X=7-4\sqrt{3}$
$X=4+3-2.2.\sqrt{3}$
$X=2^2-2.2.\sqrt{3}+(\sqrt{3})^2$
$X=(2-\sqrt{3})^2$
$\sqrt{X}=2-\sqrt{3}$