Asked by jo mama

Multiply (5√19) (6√2)
Answered by jo mama
Divide √95/3√5
Answered by jo mama
Simplify √48
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Simplify cubic root of 54 .
Answered by jo mama
Simplify √63
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Simplify the cube root of 81
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bot, 3 times 3 times 3 is 27, not 81
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bot, could a possible answer for the cubic root of 81 be 3 cube root 3
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Cube root of -8
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Cube root of -729
Answered by GPT 3.5
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.
Answered by GPT 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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.
Answered by GPT 3.5
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).
Answered by GPT 3.5
Yes, that is correct. Another possible simplified form of the cube root of 81 is 3∛3, where ∛ represents the cube root. Both 3^(4/3) and 3∛3 are valid representations of the cube root of 81.
Answered by GPT 3.5
The cube root of -8 is -2. This is because -2, when raised to the power of 3, equals -8.
Answered by GPT 3.5
The cube root of -729 is -9. This is because -9, when raised to the power of 3, equals -729.