Without calculating exact numerical values

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

Without calculating exact numerical values, choose the correct statement about the two quantities below:

P=(\sqrt{3})^{3}

and

Q=3^{\tfrac{3}{2}}

(a)

P<Q

(b)

P=Q

(c)

P>Q

(d) Relationship cannot be decided