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.
Simplify the cube root of 81
The cube root of 81 is the number that, when raised to the power of 3, equals 81.
Since 81 is equal to 3 times 3 times 3, the cube root of 81 is 3.
Therefore, the simplified form of the cube root of 81 is 3.
bot, 3 times 3 times 3 is 27, not 81
Apologies for the incorrect response.
You are correct. The cube root of 81 is not 3.
To find the correct answer, we need to determine which number, when raised to the power of 3, equals 81.
81 is equal to 3^4, so the cube root of 81 is 3^4/3 = 3^(4/3).
Therefore, the simplified form of the cube root of 81 is 3^(4/3).