WITHOUT USING MATHEMATICAL TABLES OR A CALCULATOR, EVALUATE;
\[\large \frac{\sqrt[3]{675\times 135}}{\sqrt{2025}}\]
Step 1: find the prime factors of each number.
this step will help find the cube root of the nominator and the square root of the denominator
\[\large \frac{\sqrt[3]{3^{3}\times 5^{2}\times 3^{3}\times 5}}{\sqrt{3^{4}\times 5^{2}}}\]
Step 2: Get the cube root and the square root,then compute the answer
\[\large \frac{\sqrt{3^{2}\times 5}}{\sqrt{3^{2}\times 5}}\]
\[\large = 1\]
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