Question 72472
You can write square roots as rational exponents. What this means is that this is possible
{{{sqrt(x)=x^(1/2)}}}
One way this is useful is when you multiply or divide this with other values with exponents
Ex:
{{{x^2*sqrt(x)=x^2*x^(1/2)=x^(2+1/2)=x^(3/2)}}}Lets plug in some numbers so this makes sense. Let x=4
{{{4^2*sqrt(4)=4^2*4^(1/2)=4^(2+1/2)=4^(3/2)=8}}} (4^3/2 is the same as saying the square root of 4 cubed)
It's also useful when squaring a square root, or taking the square root of a squared number
Ex:
{{{(sqrt(x))^2=(x^2)^(1/2)=x^(2/2)=x^1=x}}}
Hope this helps.