Exercise 56 Page 16

To determine which set of numbers best describes the value of I, let's first substitute the values W= 240 and R= 100 into the formula. Then, we can find the value of I and describe it.

I=sqrt(W/R)

SubstituteII

W= 240, R= 100

I=sqrt(240/100)

ReduceFrac

a/b=.a /20./.b /20.

I=sqrt(12/5)

RootQuot

sqrt(a/b)=sqrt(a)/sqrt(b)

I=sqrt(12)/sqrt(5)

▼

Simplify numerator

SplitIntoFactors

Split into factors

I=sqrt(4*3)/sqrt(5)

RootProd

sqrt(a* b)=sqrt(a)*sqrt(b)

I=sqrt(4)*sqrt(3)/sqrt(5)

CalcRoot

Calculate root

I=2sqrt(3)/sqrt(5)

The value of I involves radicals that cannot be simplified. Therefore, we can say that it belongs to the set of irrational numbers.