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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