Multiplying Successive Square Roots

Algebra Level 2

A1=3A2=A1A3=A2An+1=An \begin{aligned} A_1 & = \sqrt{3} \\ A_2 & = \sqrt{A_1} \\ A_3 & = \sqrt{A_2} \\ & \vdots \\ A_{n+1} &= \sqrt{A_n} \end{aligned}

What is the value of the infinite product A1×A2×A3×?A_1 \times A_2 \times A_3\times \cdots \, ?

×

Problem Loading...

Note Loading...

Set Loading...