Find the square root of the expression $56-24 \sqrt{5}$ in the form of a binomial surd.

According to Euclid's division lemma,for given positive integers $a$ and $b,$ there exist unique non-negative integers $q$ and $r$ such that $a = bq + r,$ where ...........

If the greatest common divisor (g.c.d.) of $a$ and $b$ is $d$,then which of the following statements is false?

Prove that $3+2 \sqrt{5}$ is an irrational number.

The conjugate surd of $3+\sqrt{2}$ is $\ldots \ldots \ldots \ldots .$

The last digit of $2^{9} \cdot 5^{135}$ is ..............