Rewrite <math><mstyle displaystyle="true"><msup><mrow><mo>(</mo><mn>5</mn><mo>+</mo><msqrt><mn>3</mn></msqrt><mo>)</mo></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> as <math><mstyle displaystyle="true"><mrow><mo>(</mo><mn>5</mn><mo>+</mo><msqrt><mn>3</mn></msqrt><mo>)</mo></mrow><mrow><mo>(</mo><mn>5</mn><mo>+</mo><msqrt><mn>3</mn></msqrt><mo>)</mo></mrow></mstyle></math> .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> .

Move <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> to the left of <math><mstyle displaystyle="true"><msqrt><mn>3</mn></msqrt></mstyle></math> .

Combine using the product rule for radicals.

Multiply <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>9</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Pull terms out from under the radical, assuming positive real numbers.

Add <math><mstyle displaystyle="true"><mn>25</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>5</mn><msqrt><mn>3</mn></msqrt></mstyle></math> and <math><mstyle displaystyle="true"><mn>5</mn><msqrt><mn>3</mn></msqrt></mstyle></math> .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

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