Question

Please help asap show that √x²+x³ = |x| √1+x

Answer 1

√(x² + x³) = √(x² (1 + x)) … … … factor out x²

= √(x²) • √(1 + x) … … … distribute the square root over the product

= |x| √(1 + x) … … … since √(x²) = |x|