Evaluate 4 square root of 98

$4 \sqrt{98}$

Step 1

Rewrite $98$ as $7^{2} \cdot 2$ .

Factor $49$ out of $98$ .

$4 \sqrt{49 (2)}$

Rewrite $49$ as $7^{2}$ .

$4 \sqrt{7^{2} \cdot 2}$

$4 \sqrt{7^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$4 (7 \sqrt{2})$

Step 3

Multiply $7$ by $4$ .

$28 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$28 \sqrt{2}$

Decimal Form:

$39.59797974 \dots$

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