3) $$ \sqrt[3]{27}+\sqrt{\frac{10}{4}}-(\sqrt{16})^{2} $$

Question

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt[3]{27}+\sqrt{\frac{10}{4}}-(\sqrt{16})^{2} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt[3]{27}+\sqrt{\frac{10}{4}}-\left(\sqrt{16}ight)^{2}$$
- step1: Reduce the fraction:
  $$\sqrt[3]{27}+\sqrt{\frac{5}{2}}-\left(\sqrt{16}ight)^{2}$$
- step2: Simplify the root:
  $$\sqrt[3]{27}+\sqrt{\frac{5}{2}}-4^{2}$$
- step3: Simplify the root:
  $$3+\sqrt{\frac{5}{2}}-4^{2}$$
- step4: Simplify the root:
  $$3+\frac{\sqrt{10}}{2}-4^{2}$$
- step5: Evaluate the power:
  $$3+\frac{\sqrt{10}}{2}-16$$
- step6: Subtract the numbers:
  $$-13+\frac{\sqrt{10}}{2}$$
- step7: Reduce fractions to a common denominator:
  $$-\frac{13	imes 2}{2}+\frac{\sqrt{10}}{2}$$
- step8: Transform the expression:
  $$\frac{-13	imes 2+\sqrt{10}}{2}$$
- step9: Multiply the numbers:
  $$\frac{-26+\sqrt{10}}{2}$$
The expression $$ \sqrt[3]{27}+\sqrt{\frac{10}{4}}-(\sqrt{16})^{2} $$ simplifies to approximately -11.418861.
The expression simplifies to approximately -11.418861.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Pre Algebra Questions