simplify 79√99
To simplify √99, first find the prime factorization of 99: 99 = 3 * 3 * 11.
Now, simplify 79√99: 79 * √99 = 79 * √(3 * 3 * 11).
Since we cannot simplify the square root of primes any further, the simplified expression is: 79√(3 * 3 * 11).
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To simplify √99, we can break it down further by finding the largest perfect square factor of 99. The largest perfect square factor of 99 is 9 (3^2).
So, we can rewrite √99 as √(9 * 11).
Simplifying this further, we get √9 * √11 = 3 * √11.
Therefore, the simplified form of 79√99 is 79 * 3 * √11 = 237√11.
To simplify the expression 79√99, we need to find the square root of 99.
Step 1: Prime factorize 99
- The prime factorization of 99 is 3 * 3 * 11.
Step 2: Simplify the square root expression
- We can split the square root of 99 as the square root of the perfect square times the square root of the remaining factor.
- Square root of 99 = square root of (3 * 3 * 11) = square root of (3 * 3) * square root of 11 = 3 * square root of 11.
Step 3: Multiply the simplified expression with 79
- Multiply 79 with 3 * square root of 11.
- Result = 79 * (3 * square root of 11) = 237 * square root of 11.
Therefore, the simplified expression is 237√11.