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ice 5 Multiply, using the approach that seems easiest to you.

(sqrt(5x)+sqrt10)^(2)

ice $5$ Multiply, using the approach that seems easiest to you. $\newline$ $(\sqrt{5 x}+\sqrt{10})^{2}$

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Multiply radical expressions

Full solution

Q. ice

5

Multiply, using the approach that seems easiest to you.

\newline

(\sqrt{5 x}+\sqrt{10})^{2}

Apply binomial formula: Step $1$ : Apply the square of a binomial formula, $(a+b)^2 = a^2 + 2ab + b^2$ . $\newline$ $(\sqrt{5x} + \sqrt{10})^2 = (\sqrt{5x})^2 + 2\cdot\sqrt{5x}\cdot\sqrt{10} + (\sqrt{10})^2$
Simplify terms: Step $2$ : Simplify each term. $\newline$ (\sqrt{5x})^2 = 5x ext{,}\(\newline2\sqrt{5x}\sqrt{10} = 2\sqrt{50x} ext{,} $\newline$ (\sqrt{10})^2 = 10\)
Further simplify middle term: Step $3$ : Simplify the middle term further. $\newline$ $2\sqrt{50x} = 2\sqrt{25\cdot 2x} = 2\cdot 5\sqrt{2x} = 10\sqrt{2x}$
Combine all terms: Step $4$ : Combine all terms. $5x + 10\sqrt{2x} + 10$

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