Step by action solution :
Step 1 :
Isolate the square root on the left hand side :Radical currently isolated √(25/4)=x
Step 2 :
Eliminate the radical ~ above the left hand next :Raise both political parties to the 2nd 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 the the an initial solution is correct :Original equation√(25/4)=xPlug in (5/2) because that x√(25/4)=(5/2)Simplify√6.25=2.5Solution check !!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 go not examine 2.5≠-2.5
One equipment was found :
x=(5/2)You are watching: Square root of 25/4
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