Multiply (5√19) (6√2)

To multiply (5√19) (6√2), you can multiply the coefficients and then multiply the square roots.

(5√19) (6√2) = 5 * 6 * √19 * √2

= 30 * √(19 * 2)

= 30 * √38

So, the product is 30√38.

Divide √95/3√5

To divide √95 by 3√5, you can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.

√95 / 3√5 = (√95 / 3√5) * (√5 / √5)

= (√(95 * 5)) / (3 * √(5 * 5))

= √475 / (3√25)

= √475 / (3 * 5)

= √475 / 15

So, the result is (√475) / 15.

Simplify √48

To simplify √48, you can find the prime factorization of 48.

48 = 2 * 2 * 2 * 2 * 3 = 2^4 * 3

Now, you can pair up the prime factors in pairs and take the square root of each pair outside the square root sign.

√48 = √(2^4 * 3) = 2^2 * √3 = 4√3

Therefore, the simplified form of √48 is 4√3.

Simplify cubic root of 54 .

To simplify the cube root of 54, we can look for the largest perfect cube that divides evenly into 54.

54 can be expressed as 27 * 2.

Taking the cube root of 27, we get 3.

Therefore, the simplified form of the cube root of 54 is 3∛2.

Simplify √63

To simplify √63, we can find the prime factorization of 63.

63 = 3 * 3 * 7 = 3^2 * 7

Now, we can pair up the prime factors in pairs and take the square root of each pair outside the square root sign.

√63 = √(3^2 * 7) = 3 * √7

Therefore, the simplified form of √63 is 3√7.