Step by step solution :

Step 1 :

Isolate the square source on the left hand next :

Radical already isolated √(16/49)=x

Step 2 :

Eliminate the radical top top the left hand next :

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

Step 3 :

Solve the quadratic equation :

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

Step 4 :

Check the the an initial solution is exactly :

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 that the 2nd solution is correct :

Original equation√(16/49)=xPlug in -(4/7) because that x√(16/49)=(-4/7)Simplify√0.327=-0.571Solution does not examine 0.571≠-0.571

One systems was uncovered :

x=(4/7)


You are watching: Square root of 16/49

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