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vovangra [49]
3 years ago
6

What is the expression in radical form? (5ab)3/2

Mathematics
2 answers:
andrew11 [14]3 years ago
8 0

It would be a  x/n = n      √a^x  

Hope this helps


spayn [35]3 years ago
3 0

Answer:

The required radical form is (5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}

Step-by-step explanation:

Given : Expression (5ab)^{\frac{3}{2}}

To find : What is the expression in radical form?

Solution :

Radical form is writing number into square root , cubic form.

x^{\frac{a}{n}}=\sqrt[n]{x^a}

Expression (5ab)^{\frac{3}{2}}

Re-write it as,

(5ab)^{\frac{3}{2}}=\sqrt[2]{(5ab)^3}

(5ab)^{\frac{3}{2}}=\sqrt[2]{5^3a^3b^3}

(5ab)^{\frac{3}{2}}=\sqrt[2]{5^2a^2b^25ab}

(5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}

Therefore, The required radical form is (5ab)^{\frac{3}{2}}=5ab\sqrt[2]{5ab}

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