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)You are watching: What is the square root of 9/4
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