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Simplify. sqrt98

Simplify.\newline98 \sqrt{98}

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Full solution

Q. Simplify.\newline98 \sqrt{98}
  1. Break down into prime factors: Let's break down 9898 into its prime factors.\newlinePrime factorization of 9898 is 2×7×72 \times 7 \times 7.\newline98=2×7×7\sqrt{98} = \sqrt{2 \times 7 \times 7}
  2. Group identical factors: Now, group the identical factors. 98=2×7×7\sqrt{98} = \sqrt{2} \times \sqrt{7 \times 7}
  3. Use property of square roots: Use the property that a2=a\sqrt{a^2} = a.98=2×72\sqrt{98} = \sqrt{2} \times \sqrt{7^2}
  4. Simplify perfect square: Simplify the square root of the perfect square. 98=2×7\sqrt{98} = \sqrt{2} \times 7
  5. Write simplified form: Finally, write the simplified form. 98=7×2\sqrt{98} = 7 \times \sqrt{2}

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