Multiply 11 −−−√ ⋅67–√ . Give an exact answer.
To find the exact value of this expression, we simplify each square root separately and then multiply the results.
First, simplify √11:
√11 = √(11 × 1) = √11
Next, simplify √67:
√67 cannot be simplified any further since 67 is a prime number.
So the expression becomes:
√11 ⋅ √67
Multiplying these two square roots gives:
√11 ⋅ √67 = √(11 × 67)
Since 11 and 67 are both prime numbers, the result is a non-simplified square root:
√11 ⋅ √67 = √737
its wrong
Apologies for the mistake. Let's correct it:
Given expression: 11 -√ × 67 -√
To simplify this expression, we multiply the two square roots:
√11 × √67 = √(11 × 67) = √737
Therefore, the exact answer is √737.