## Step 1 :

Isolate the square root on the left hand next :

## 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 :

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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