Solve 2(5/4)=sqrt{17(5/4)-15}

$$2( \frac{ 5 }{ 4 } )= \sqrt{ 17( \frac{ 5 }{ 4 } )-15 }$$

Verify

Solution Steps

Express 2\times \frac{5}{4} as a single fraction.

$$\frac{2\times 5}{4}=\sqrt{17\times \frac{5}{4}-15}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{4}=\sqrt{17\times \frac{5}{4}-15}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}=\sqrt{17\times \frac{5}{4}-15}$$

Express 17\times \frac{5}{4} as a single fraction.

$$\frac{5}{2}=\sqrt{\frac{17\times 5}{4}-15}$$

Multiply 17 and 5 to get 85.

$$\frac{5}{2}=\sqrt{\frac{85}{4}-15}$$

Convert 15 to fraction \frac{60}{4}.

$$\frac{5}{2}=\sqrt{\frac{85}{4}-\frac{60}{4}}$$

Since \frac{85}{4} and \frac{60}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{2}=\sqrt{\frac{85-60}{4}}$$

Subtract 60 from 85 to get 25.

$$\frac{5}{2}=\sqrt{\frac{25}{4}}$$

Rewrite the square root of the division \frac{25}{4} as the division of square roots \frac{\sqrt{25}}{\sqrt{4}}. Take the square root of both numerator and denominator.

$$\frac{5}{2}=\frac{5}{2}$$

Compare \frac{5}{2} and \frac{5}{2}.

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