What is the square root of 9/4

Step by step solution :

Step 1 :

Isolate the square root on the left hand side :

Radical already isolated √(9/4)=x

Step 2 :

Eliminate the radical ~ above the left hand side :

Raise both political parties to the second power(√(9/4))2=(x)2After squaring (9/4)=x2

Step 3 :

Solve the quadratic equation :

Rearranged equationx2-(9/4)=0This equation has actually two rational roots: x1,x2=3/2,-3/2

Step 4 :

Check that the an initial solution is exactly :

Original equation√(9/4)=xPlug in (3/2) for x√(9/4)=(3/2)Simplify√2.25=1.5Solution checks !!Solution is: x=(3/2)

Step 5 :

Check that the 2nd solution is exactly :

Original equation√(9/4)=xPlug in -(3/2) because that x√(9/4)=(-3/2)Simplify√2.25=-1.5Solution walk not examine 1.5≠-1.5

One solution was found :

x=(3/2)


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