Multiply <math><mstyle displaystyle="true"><mfrac><mrow><mn>4</mn></mrow><mrow><mn>9</mn><mo>-</mo><msqrt><mn>7</mn></msqrt></mrow></mfrac></mstyle></math> by <math><mstyle displaystyle="true"><mfrac><mrow><mn>9</mn><mo>+</mo><msqrt><mn>7</mn></msqrt></mrow><mrow><mn>9</mn><mo>+</mo><msqrt><mn>7</mn></msqrt></mrow></mfrac></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mfrac><mrow><mn>4</mn></mrow><mrow><mn>9</mn><mo>-</mo><msqrt><mn>7</mn></msqrt></mrow></mfrac></mstyle></math> and <math><mstyle displaystyle="true"><mfrac><mrow><mn>9</mn><mo>+</mo><msqrt><mn>7</mn></msqrt></mrow><mrow><mn>9</mn><mo>+</mo><msqrt><mn>7</mn></msqrt></mrow></mfrac></mstyle></math> .

Expand the denominator using the FOIL method.

Simplify.

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>4</mn><mrow><mo>(</mo><mn>9</mn><mo>+</mo><msqrt><mn>7</mn></msqrt><mo>)</mo></mrow></mstyle></math> .

Cancel the common factors.

Factor <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>74</mn></mstyle></math> .

Cancel the common factor.

Rewrite the expression.

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

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