Question

Factorise the following
$\sqrt{7 + \sqrt{48} } \: \: is \: equl \: \: to$
​

Answer 1

Answer:

$2 + \sqrt{3}$

Step-by-step explanation:

$\sqrt{7 \sqrt{48} }$

$\sqrt{ 7\sqrt{16 \times 3} }$

$\sqrt{ 7 + {4 \sqrt{3} } }$

$\sqrt{(2 {}^{2})} + (\sqrt{3}) {}^{2} + 2 \times 2 \times \sqrt{3}$

$\sqrt{ (2 + \sqrt{3) {}^{2} } {} }$

$2 + \sqrt{3}$