Question

2 root 20+root45 when expressed in the form of 'A' root 5 when value of A is

Answer 1

$A = 7$

Step-by-step explanation:

$A/Q,\: \: \: 2 \sqrt{20} + \sqrt{45} = A \sqrt{5} \\ \: \: \: \: \: \: \: = > \: \: \: 2 \sqrt{4 \times 5} + \sqrt{9 \times 5} = A \sqrt{5} \\ = > \: 2 \times 2 \sqrt{5} + 3 \sqrt{5} = A \sqrt{5} \\ = > \: \: 4 \sqrt{5} + 3 \sqrt{5} = A \sqrt{5} \\ = > \: \: 7 \sqrt{5} = A \sqrt{5} \\ = > \:7 = A \\\: \: \: = > \: \: \boxed{ A = 7}$