Question

Convert $\sqrt{3}$ into a surd of order $6$.

• A. $\sqrt[6]{69}$
• B. $\sqrt[6]{63}$
• C. $\sqrt[6]{627}$
• D. $\sqrt[6]{681}$

Answer 1

Answer: (C)

$\sqrt[6]{627}$

$\sqrt{3}=(3{)}^{\frac{1}{2}}=(x{)}^{\frac{1}{6}}$

$3=(x{)}^{\frac{1}{3}}$

$3^3=x$

$x=27$

So, $\sqrt{3}=\sqrt[6]{627}$