Divide 410√/2√ . Provide an exact answer

Answer 1

To divide √410 by √2, we can rationalize the denominator.

We multiply both the numerator and denominator by √2 to rationalize the denominator:

(√410 * √2) / (√2 * √2)
= (√(410 * 2)) / (2)
= (√820) / 2

Therefore, the exact answer is (√820) / 2.

Answer 2

Divide 4√10/√2

Answer 3

To divide 4√10 by √2, we need to rationalize the denominator.

First, let's simplify the numerator: 4√10.

Next, let's rationalize the denominator: √2.

To rationalize the denominator, we multiply both the numerator and denominator by the conjugate of √2, which is also √2. Multiplying the expression by √2/√2, we get:

(4√10 * √2) / (√2 * √2)
= (4√(10 * 2)) / (√(2 * 2))
= (4√20) / √4
= (4√20) / 2
= 2√20
= 2 * √(4 * 5)
= 2 * √(20)
= 2 * √(4 * 5)
= 2 * 2√5
= 4√5

Therefore, the exact answer is 4√5.

Answer 4

Simplify 300−−−√ .(1 point)

Answer 5

To simplify √300, we can factorize 300 and find perfect square factors:

300 = 2 * 2 * 3 * 5 * 5 = 2^2 * 3 * 5^2

Taking the square root of the perfect square factors:

√300 = √(2^2 * 3 * 5^2) = 2 * √(3 * 5^2) = 2 * 5 √3 = 10√3

So, √300 simplifies to 10√3.

Answer 6

Simplify 1327−−√ .

Answer 7

Unfortunately, √1327 cannot be simplified further, as it is not a perfect square. Therefore, the simplification of √1327 is simply √1327.

Answer 8

Simplify 13√27

Answer 9

To simplify 13√27, we can factorize 27 and find perfect square factors:

27 = 3 * 3 * 3 = 3^3

Taking the square root of the perfect square factor:

√27 = √(3^3) = 3√3

Therefore, 13√27 simplifies to 13 * 3√3, which can be further simplified to 39√3.