Question

Write the given irrational number $\sqrt{5\sqrt{48}}$ in surd form

Answer 1

$\sqrt{5\sqrt{48}}$, We can covert this irrational number in surd form as follows

$=$ $\sqrt{\sqrt{5\times 5\times 48}}$

$=$ $\sqrt[4]{45\times 5\times 2\times 2\times 2\times 2\times 3}$

$=$ $2$$\sqrt[4]{475}$