## Step 1 :

Isolate the square root on the left hand next :

## Step 2 :

Eliminate the radical ~ above the left hand next :

Raise both political parties to the 2nd power(√(9/10))2=(x)2After squaring (9/10)=x2

## Step 3 :

Solve the quadratic equation :

Rearranged equationx2-(9/10)=0This equation has two real roots: x1=( 0+sqrt( 4))/ 2=0.9487 x2=( 0-sqrt( 4))/ 2=-0.9487

## Step 4 :

Check that the very first solution is exactly :

Original equation√(9/10)=xPlug in 0.9487 because that x√(9/10)=( 0.9487) Simplify√0.9=0.949Solution check !!Solution is: x= 0.9487

## Step 5 :

Check that the second solution is exactly :

Original equation√(9/10)=xPlug in -0.9487 for x√(9/10)=(-0.9487) Simplify√0.9=-0.949Solution walk not inspect 0.949≠-0.949

## One systems was uncovered :

x= 0.9487

You are watching: Square root of 9/10

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