#1138 · Algebra · Exponentials & logarithms

Simplify and rationalize a product of surds

Express $\frac{( 3 + 5 ) ( 5 + 2 )}{2 + 3 + 5}$ as an equivalent fraction with a rational denominator.

~6 minAnswer checked instantlyrationalizing the denominatorsurds

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VIII. Surds and Imaginary Quantities, Examples VIII.a, No. 6

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).