without using mathematical tables or a calculator, evaluate;

previously << MATHEMATICS FORM 1: NATURAL NUMBERS (PLACE VALUE(WHOLE NUMBERS))

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

\[\large \frac{\sqrt{3^{2}\times 5}}{\sqrt{3^{2}\times 5}}\]

\[\large = 1\]

More question on;

1. Square roots
2. Cube roots
3. Operation of numbers

next: question on prime numbers