Question
Question: How do you simplify \[\sqrt{\dfrac{27}{64}}\]?...
How do you simplify 6427?
Explanation
Solution
Assume the given expression as ‘E’. Write the given numerator and the denominator as the product of their prime factors. Cancel the common factors if present. Now, try to write the prime factors with their exponent equal to 2. To do this, form groups of identical prime factors. Now, apply the formula (am)n=am×n to cancel the square root and exponent 2, to get the answer.
Complete answer:
Here, we have been asked to simplify the expression 6427. That means we have to find the square root of the fraction 6427. Let us assume the given expression as ‘E’. So, we have,
⇒E=6427
Now, to find the square root, first we need to write the numerator and the denominator as the product of their factors. So, we can write: -