Question

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Write this expression in simplest form.
√98c³d
Don't include any spaces or multiplication symbols between coefficients or variables in your answer.

Answer 1

The expression \(\sqrt{98c^3d}\) can be simplified to \(7c^{\frac{3}{2}}d\sqrt{2}\).

Step-by-step explanation:

The expression \(\sqrt{98c^3d}\) can be simplified as follows:

1. First, let's break down \(98\) into its prime factors: \(2 \times 7^2\).
2. This allows us to write the expression as \(\sqrt{2 \times 7^2 c^3d}\).
3. The square root of \(2\) and \(7^2\) can be simplified further as \(\sqrt{2}\times\sqrt{7^2} = \sqrt{2}\times7 = 7\sqrt{2}\).
4. Combining all the terms, the simplified expression is \(7c^{\frac{3}{2}}d\sqrt{2}\).

So, the simplest form of the expression \(\sqrt{98c^3d}\) is \(7c^{\frac{3}{2}}d\sqrt{2}\).

Learn more about simplifying square roots