Step by action solution :

Step 1 :

Isolate the square root on the left hand side :

Radical currently isolated √(16/49)=x

Step 2 :

Eliminate the radical top top the left hand next :

Raise both political parties to the second power(√(16/49))2=(x)2After squaring (16/49)=x2

Step 3 :

Solve the quadratic equation :

Rearranged equationx2-(16/49)=0This equation has actually two reasonable roots: x1,x2=4/7,-4/7

Step 4 :

Check the the first solution is correct :

Original equation√(16/49)=xPlug in (4/7) because that x√(16/49)=(4/7)Simplify√0.327=0.571Solution checks !!Solution is: x=(4/7)

Step 5 :

Check the the second solution is correct :

Original equation√(16/49)=xPlug in -(4/7) for x√(16/49)=(-4/7)Simplify√0.327=-0.571Solution walk not check 0.571≠-0.571

One solution was discovered :

x=(4/7)


You are watching: Square root of 16/49

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