Factor out common square root: Factor out the common square root from both terms. -3sqrt(112) + 10sqrt(112) can be written as (-3 + 10)sqrt(112).Simplify coefficients: Simplify the coefficients. (-3 + 10) equals 7.Multiply coefficient by square root: Multiply the simplified coefficient by the square root. 7 * sqrt(112) is the simplified form of the expression.Simplify square root factors: Simplify sqrt(112) by finding perfect square factors. 112 can be factored into 16 * 7, where 16 is a perfect square.Take square root of perfect square: Take the square root of the perfect square factor. sqrt(16) equals 4, so sqrt(112) equals 4 * sqrt(7).Multiply coefficient by square root: Multiply the coefficient by the simplified square root. 7 * 4 * sqrt(7) equals 28 * sqrt(7).

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$-3 \sqrt{112}+10 \sqrt{112}$

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Math Problems

Grade 7

Add and subtract like terms: with exponents

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-3 \sqrt{112}+10 \sqrt{112}

Factor out common square root: Factor out the common square root from both terms. $\newline$ $-3\sqrt{112} + 10\sqrt{112}$ can be written as $(-3 + 10)\sqrt{112}$ .
Simplify coefficients: Simplify the coefficients. $\newline$ $(-3 + 10) = 7$ .
Multiply coefficient by square root: Multiply the simplified coefficient by the square root. $7 \times \sqrt{112}$ is the simplified form of the expression.
Simplify square root factors: Simplify $\sqrt{112}$ by finding perfect square factors. $\newline$ $112$ can be factored into $16 \times 7$ , where $16$ is a perfect square.
Take square root of perfect square: Take the square root of the perfect square factor. $\sqrt{16} = 4$ , so $\sqrt{112} = 4 \times \sqrt{7}$ .
Multiply coefficient by square root: Multiply the coefficient by the simplified square root. $\newline$ $7 \times 4 \times \sqrt{7}$ equals $28 \times \sqrt{7}$ .