Exercise
$\frac{12}{\sqrt{7\:t\sqrt{5}}}$
Step-by-step Solution
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 12/((7t*5^(1/2))^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{7\sqrt{5}t}. Multiplying fractions \frac{12}{\sqrt{7\sqrt{5}t}} \times \frac{\sqrt{7\sqrt{5}t}}{\sqrt{7\sqrt{5}t}}. When multiplying two powers that have the same base (\sqrt{7\sqrt{5}t}), you can add the exponents. To rationalize the denominator of the fraction, we multiply the numerator and denominator by 7\sqrt{5}t.
Rationalize and simplify the expression 12/((7t*5^(1/2))^(1/2))
Final answer to the exercise
$\frac{12\sqrt{35\sqrt{5}t}}{35t}$