1.7×2=1477.7

To remove the radical on the left side of the equation, square both sides of the equation.

1.7×22=1477.72

Multiply the exponents in ((1.7×2)12)2.

Apply the power rule and multiply exponents, (am)n=amn.

(1.7×2)12⋅2=1477.72

Cancel the common factor of 2.

Cancel the common factor.

(1.7×2)12⋅2=1477.72

Rewrite the expression.

(1.7×2)1=1477.72

(1.7×2)1=1477.72

(1.7×2)1=1477.72

Simplify.

1.7×2=1477.72

Rewrite 1477.72 as 1477.7.

Use axn=axn to rewrite 1477.7 as 1477.712.

1.7×2=(1477.712)2

Apply the power rule and multiply exponents, (am)n=amn.

1.7×2=1477.712⋅2

Combine 12 and 2.

1.7×2=1477.722

Cancel the common factor of 2.

Cancel the common factor.

1.7×2=1477.722

Divide 1 by 1.

1.7×2=1477.71

1.7×2=1477.71

Evaluate the exponent.

1.7×2=1477.7

1.7×2=1477.7

1.7×2=1477.7

Divide each term by 1.7 and simplify.

Divide each term in 1.7×2=1477.7 by 1.7.

1.7×21.7=1477.71.7

Cancel the common factor of 1.7.

x2=1477.71.7

Divide 1477.7 by 1.7.

x2=869.23529411

x2=869.23529411

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x=±869.23529411

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the ± to find the first solution.

x=869.23529411

Next, use the negative value of the ± to find the second solution.

x=-869.23529411

The complete solution is the result of both the positive and negative portions of the solution.

x=869.23529411,-869.23529411

x=869.23529411,-869.23529411

x=869.23529411,-869.23529411

The result can be shown in multiple forms.

Exact Form:

x=869.23529411,-869.23529411

Decimal Form:

x=29.48279657…,-29.48279657…

Solve using the Square Root Property square root of 1.7x^2 = square root of 1477.7