7 a\sqrt{a} - 8a\sqrt{8a} + 8 9a\sqrt{9a} - 32a\sqrt{32a}

asked by guest
on Mar 23, 2025 at 2:18 am



You asked:

Evaluate the expression: 7a8a+89a32a7 \sqrt{a} - \sqrt{8 a} + 8 \sqrt{9 a} - \sqrt{32 a}

MathBot Answer:

Evaluated



7a8a+89a32a=62a+31a\displaystyle 7 \sqrt{a} - \sqrt{8 a} + 8 \sqrt{9 a} - \sqrt{32 a} = - 6 \sqrt{2} \sqrt{a} + 31 \sqrt{a}


Factored

7a8a+89a32a=a(31+62)7 \sqrt{a} - \sqrt{8 a} + 8 \sqrt{9 a} - \sqrt{32 a} = - \sqrt{a} \left(-31 + 6 \sqrt{2}\right)