How to Solve Multiple Square Roots

The square root of a number is an integer which, when multiplied by itself, results in that number. For example, the square root of nine is three because three multiplied by three equals nine. If you encounter an equation that has several square roots, take the time to look closely at the terms. The square root symbol, which resembles a check mark, may refer to one number or to an entire function. After the problem is clear, solve the square roots one at a time.

Instructions

    • 1

      Solve each individual square root. Add, subtract, multiply or divide the result as indicated by the problem. For example, if the equation asks you to solve the square root of four multiplied by the square root of 16, convert the equation by solving the square roots. Your equation will become two multiplied by four. The answer to this problem is therefore eight.

    • 2

      Solve the equation under the square root sign. Find the square root of the result. For example, if the question asks what is the square root of four multiplied by 16, solve for 16 multiplied by four. The result is 64. Solve for the square root of 64. Your answer in this problem is eight.

    • 3

      Solve the one square root in the equation if the problem asks you to add, subtract, multiply or divide a whole number to, from or by a square root. For example, if the problem asks you to multiply 16 by the square root of four, solve first for the square root of four. The result is two. Multiply two by 16. The result, 32, is the answer to your problem.

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