j) $$ \sqrt{6} imes \sqrt{5} imes \sqrt{10} $$

Question

j) $$ \sqrt{6} 	imes \sqrt{5} 	imes \sqrt{10} $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt{6} 	imes \sqrt{5} 	imes \sqrt{10} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{6}	imes \sqrt{5}	imes \sqrt{10}$$
- step1: Multiply the terms:
  $$\sqrt{30}	imes \sqrt{10}$$
- step2: Use the properties of radicals:
  $$\sqrt{30	imes 10}$$
- step3: Calculate:
  $$\sqrt{300}$$
- step4: Write as a product:
  $$\sqrt{100	imes 3}$$
- step5: Write in exponential form:
  $$\sqrt{10^{2}	imes 3}$$
- step6: Use the properties of radicals:
  $$\sqrt{10^{2}}	imes \sqrt{3}$$
- step7: Simplify the root:
  $$10\sqrt{3}$$
The result of $$ \sqrt{6} 	imes \sqrt{5} 	imes \sqrt{10} $$ is $$ 10\sqrt{3} $$.
$$ \sqrt{6} 	imes \sqrt{5} 	imes \sqrt{10} = 10\sqrt{3} $$

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