Question

√3√3√3√3√3

Answer 1

This is the square root of 3 multiplied by itself 5 times. We know that \[\sqrt{3}=3^\frac{1}{2}\] and so multiplying this by itself five times will mean\[\sqrt{3}\sqrt{3}\sqrt{3}\sqrt{3}\sqrt{3}=3^\frac{1}{2}3^\frac{1}{2}3^\frac{1}{2}3^\frac{1}{2}3^\frac{1}{2}=3^\frac{4}{2}3^\frac{1}{2}=3^23^\frac{1}{2}=9\sqrt{3}\]