Multiply 9√3 x 6√7. Give an exact answer.
To multiply, we multiply the numbers outside the square roots and multiply the numbers inside the square roots separately.
9√3 × 6√7 = (9 × 6) × (√3 × √7)
= 54 × √(3 × 7)
= 54 × √21
So, the exact answer is 54√21.
√11 x 6√7
To multiply, we multiply the numbers outside the square roots and multiply the numbers inside the square roots separately.
√11 × 6√7 = (√11 × 6) × (√7)
= 6√(11 × 7)
= 6√77
So, the exact answer is 6√77.
divide 2√65/√5
To divide, we can simplify the expression by rationalizing the denominator.
2√65 / √5 = (2√65 / √5) * (√5 / √5)
= (2√65 * √5) / (√5 * √5)
= (2√(65 * 5)) / √(5 * 5)
= (2√325) / √25
= (2√325) / 5
So, the simplified form of 2√65 / √5 is (2√325) / 5.
divide 2√65/√5 provide an exact answer
To divide, we can simplify the expression by rationalizing the denominator.
2√65 / √5 = (2√65 / √5) * (√5 / √5)
= (2√65 * √5) / (√5 * √5)
= (2√(65 * 5)) / (√(5 * 5))
= (2√325) / √25
= (2√(5 * 5 * 13)) / (5)
= (2 * 5 * √13) / 5
= 10√13 / 5
= 2√13
So, the exact answer of 2√65 / √5 is 2√13.
divide 9√33 / 27√11
simplify 7√99
To simplify √99, we need to find the largest perfect square that goes into 99. The largest perfect square that goes into 99 is 9, since 9 * 11 = 99.
√99 = √(9 * 11) = √9 * √11 = 3√11
Therefore, 7√99 simplifies to 7 * 3√11, which is equal to 21√11.