Step by action solution :
Step 1 :
Isolate the square root on the left hand next :Radical currently isolated √(9/100)=x
Step 2 :
Eliminate the radical top top the left hand next :Raise both political parties to the 2nd power(√(9/100))2=(x)2After squaring (9/100)=x2
Step 3 :
Solve the quadratic equation :Rearranged equationx2(9/100)=0This equation has actually two reasonable roots: x1,x2=3/10,3/10
Step 4 :
Check that the an initial solution is exactly :Original equation√(9/100)=xPlug in (3/10) because that x√(9/100)=(3/10)Simplify√0.09=0.3Solution check !!Solution is: x=(3/10)
Step 5 :
Check that the second solution is correct :Original equation√(9/100)=xPlug in (3/10) for x√(9/100)=(3/10)Simplify√0.09=0.3Solution does not examine 0.3≠0.3
One solution was found :
x=(3/10)You are watching: Square root of 9/100
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