Simplify each square root expression. describe the simplified form of the expression as rational or irrational. in your final answer, include all of your work. √121 √48

Part 1) 11 is a rational number

Part 2) is a irrational number

Step-by-step explanation:

we know that

A Rational Number is a number that can be made by dividing two integers

Part 1) we have

we know that

substitute

Is a rational number, because i can express the number 11 as the ratio of two integers (as example 11/1)

Part 2) we have

we know that

substitute

Is a irrational number, because cannot be expressed as the ratio of two integers

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2