Step by step solution :
Step 1 :
Isolate the square root on the left hand side :Radical already isolated √(25/4)=x
Step 2 :
Eliminate the radical on the left hand side :Raise both sides to the second power(√(25/4))2=(x)2After squaring (25/4)=x2
Step 3 :
Solve the quadratic equation :Rearranged equationx2(25/4)=0This equation has two rational roots: x1,x2=5/2,5/2
Step 4 :
Check that the first solution is correct :Original equation√(25/4)=xPlug in (5/2) for x√(25/4)=(5/2)Simplify√6.25=2.5Solution checks !!Solution is: x=(5/2)
Step 5 :
Check that the second solution is correct :Original equation√(25/4)=xPlug in (5/2) for x√(25/4)=(5/2)Simplify√6.25=2.5Solution does not check 2.5≠2.5
One solution was found :
x=(5/2)You are watching: Square root of 25/4
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