Question

Simplify. Assume f is greater than or equal to zero. √75f⁹ Submit

Answer 1

Simplified form of √75f⁹ is $5f$⁴$\sqrt{3f}$

We can write any $\sqrt[n]{ab} = \sqrt[n]{a}.\sqrt[n]{b}$

where,

a and b are variables

It is assumed that f is greater than or equal to zero.

Calculation:

√75f⁹  can be rewrite as:

√5 × √5 × √3 × √f⁸ × √f

⇒ 5 × √3 × f⁴ × √f

⇒ $5f$⁴$\sqrt{3f}$

√75f⁹ can be written as $5f$⁴$\sqrt{3f}$, in its simplest form.

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