What is \sqrt[n]{a}\sqrt[n]{b} ?

The solution to \sqrt[n]{a}\sqrt[n]{b} is (ab)^{1/n}

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simplify \sqrt[n]{a}\sqrt[n]{b}

simplify

(ab)^{\frac{1}{n}}

Solution steps

Apply radical rule:

assuming

a \geq 0, b \geq 0

= (ab)^{\frac{1}{n}}

7 \cdot 1 0^{- 5} \cdot 9.8

2 \cdot cos (a) \cdot cos (b) \cdot sin (b)

(9 x 1 0^{9}) (3.5 x 1 0^{- 6}) (6 x 1 0^{- 6})

What is \sqrt[n]{a}\sqrt[n]{b} ?
The solution to \sqrt[n]{a}\sqrt[n]{b} is (ab)^{1/n}