Evaluate square root of 10- square root of 90 - Math solver

Math

$\sqrt{10} - \sqrt{90}$

Simplify each term.

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Rewrite $90$ as $3^{2} \cdot 10$ .

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Factor $9$ out of $90$ .

$\sqrt{10} - \sqrt{9 (10)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{10} - \sqrt{3^{2} \cdot 10}$

$\sqrt{10} - \sqrt{3^{2} \cdot 10}$

Pull terms out from under the radical.

$\sqrt{10} - (3 \sqrt{10})$

Multiply $3$ by $- 1$ .

$\sqrt{10} - 3 \sqrt{10}$

$\sqrt{10} - 3 \sqrt{10}$

Subtract $3 \sqrt{10}$ from $\sqrt{10}$ .

$- 2 \sqrt{10}$

The result can be shown in multiple forms.

Exact Form:

$- 2 \sqrt{10}$

Decimal Form:

$- 6.32455532 \dots$

Evaluate square root of 10- square root of 90