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Add 2√2+ 5√3 and √2 – 3√3.

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Adding Radical Expressions Introduction: In mathematics, adding radical expressions involves combining like terms to simplify the expression. Radical expressions contain radicals, which are expressions that include square roots, cube roots, etc. Problem Statement: Add 22+5322 +53 and 2−332−33 . Solution:...
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Adding Radical Expressions

Introduction: In mathematics, adding radical expressions involves combining like terms to simplify the expression. Radical expressions contain radicals, which are expressions that include square roots, cube roots, etc.

Problem Statement: Add 22+5322

+53 and 2−332−33

.

Solution: To add radical expressions, follow these steps:

  1. Identify Like Terms:

    • 2222

and 22

  • are like terms.
  • 5353

and −33−33

    • are like terms.
  • Combine Like Terms:

    • Add the coefficients of like terms:
      • For 22
  • : 2+1=32+1=3
  • For 33
      • : 5−3=25−3=2
  • Write the Result:

    • The sum of 22+5322

+53 and 2−332−33 is:

 

  • 32+2332

+23

      • .

Conclusion: The addition of 22+5322

+53 and 2−332−33 simplifies to 32+2332+23

.

 
 
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