Question

Simplity this expression 2sqrt(5) * (13 sqrt(2)); 2sqrt(65) 2sqrt(10); 2sqrt(5) 2sqrt(7); 26sqrt(65) 2sqrt(10); 26sqrt(5) 2sqrt(10)

Answer 1

To simplify the expression 2√5 * (13√2), multiply the numbers outside the square roots and then multiply the numbers inside the square roots. The simplified expression is 52√10.

Step-by-step explanation:

To simplify the expression 2√5 * (13√2), we can multiply the numbers outside the square roots and then multiply the numbers inside the square roots. The result is 26√10.

This can be written as 26√5 * 2√10. Remember that multiplying square roots is similar to multiplying variables, where you add the exponents. In this case, the exponents are both 1, so the result is 26√5 * 2√10.

Therefore, the simplified expression is 52√10.