Question

If the operation $⊚$ is defined by $x⊚y=\sqrt{xy}$ for all positive numbers x and y, then $(5⊚45)⊚60=$

• A. $30$
• B. $60$
• C. $90$
• D. $30\sqrt{15}$
• E. $60\sqrt{15}$

Answer 1

Answer: (A)

$30$

$(5⊚45)$

$\Rightarrow$ $\sqrt{5\times 45}$ = 15

So, $(5⊚45)⊚60$ $ =

$15⊚60$ = $\sqrt{15\times 60}$ $=30$

Option A is the correct answer.