is 2 square root 25 plus square root of 36 2 square root 5 plus square root of 3

Let's break down the expression and simplify it step by step.

Given expression:

\[ 2\sqrt{25} + \sqrt{36} \quad \text{vs.} \quad 2\sqrt{5} + \sqrt{3} \]

### Simplifying the left-hand side:
1. Simplify \( \sqrt{25} \):
   \[ \sqrt{25} = 5 \]
2. Simplify \( \sqrt{36} \):
   \[ \sqrt{36} = 6 \]
3. Substitute these values back into the expression:
   \[ 2\sqrt{25} + \sqrt{36} = 2(5) + 6 = 10 + 6 = 16 \]

### Simplifying the right-hand side:
1. The expression \( 2\sqrt{5} + \sqrt{3} \) is already in its simplest form.

So, the left-hand side simplifies to 16, while the right-hand side remains \( 2\sqrt{5} + \sqrt{3} \).

### Comparing:
\[ 16 \quad \text{vs.} \quad 2\sqrt{5} + \sqrt{3} \]

Since \( 2\sqrt{5} + \sqrt{3} \) is an irrational number and does not equal 16, the expressions are **not equal**.

### Conclusion:
\[ 2\sqrt{25} + \sqrt{36} \neq 2\sqrt{5} + \sqrt{3} \]

Would you like more details or have any questions? 

Here are some related questions:

1. How do you simplify expressions involving square roots?
2. What is the difference between rational and irrational numbers?
3. Can you compare different forms of square roots?
4. How do you determine if two expressions are equal?
5. What is the process for solving radical equations?

**Tip:** Always simplify square roots first before performing other operations in an expression.

Explore the solution to the expression 2√25 + √36 vs 2√5 + √3 with a step-by-step breakdown. Understand how to simplify square roots and compare different expressions in mathematics. Suitable for Grades 7-9 students.

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