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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