Question

Simplify: ( 6 √7x ⋅ √3x² ).

a) ( 6x √21 )
b) ( 6 √21x³ )
c) ( 18 √7x³ )
d) ( 18x √21 )

Answer 1

To simplify the expression ( 6 √7x ⋅ √3x² ), combine the square roots and simplify the variables.

Step-by-step explanation:

To simplify the expression ( 6 √7x ⋅ √3x² ), we can combine the square roots and simplify the variables. The answer is option a) ( 6x √21 ). Let's break down the steps:

• Combining like terms: √7 ⋅ √3 = √21
• Multiplying the coefficients and the variables: 6 ⋅ x ⋅ √21 = 6x √21