Real Number Quiz 6

$\sqrt P+\sqrt Q$ is ………… where P and Q are natural numbers.

$\sqrt{\frac{a}{b}+\frac{b}{a}-2} =$ ...............

H.C.F. of 12,18 is

The rational number betwen the pair of numbers $\frac{1}{2}$  and $\sqrt1$ is

The prime factorisation of 729 is

The number of prime factors of 36 is ……………

The exponential form of $log_{10}$ 0.001 = -3 is ……………

The HCF of the polynomials $(x^2-4x+4)(x+3)$ and $(x^2+2x-3)(x-2)$is ..................

$\sqrt{3+\sqrt5}$ = ................

The sum of LCM and HCF of two numbers is 1260. If their LCM is 900 more than their HCF, find the product of two numbers.