Question

simplify (2+√3) (3+√5)

Answer 1

Heya !!!



( 2 + ✓3 ) ( 3 + ✓5 )


2 ( 3 + ✓5 ) + ✓3 ( 3 + ✓5 )


6 + 2✓5 + 3✓3 + ✓15



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Answer 2

Answer:

The simplified form of the expression (2+√3) (3+√5) is 6+2√5+3√3+√15.

Explanation:

Given: The expression, (2+√3) (3+√5).

To find: The simplified form of the given expression.

Steps need to be done:

1. Write the given mathematical expression.
2. Use the distributive property of multiplication.
3. Multiply the terms inside the brackets.
4. Add the related terms.
5. Find the simplified form.

Step 1:

The given expressions is,

(2+√3) (3+√5)

Multiplying using the distributive property,

(2+√3) (3+√5) = 2(3+√5)+√3 (3+√5)

Step 2:

Again using the distributive property,

2(3+√5)+√3 (3+√5) = 6+2√5+3√3+√15

This cannot be simplified further.

Final answer:

Hence, the simplified form of the given expression is 6+2√5+3√3+√15.