Math, asked by hk0880675, 9 months ago

root 20+ root 45+root 5​

Answers

Answered by tahseen619
3

Answer:

6 \sqrt{5}

Step-by-step explanation:

 \sqrt{20}  +  \sqrt{45}  +  \sqrt{5}  \\  \\  \sqrt{5 \times 4}  +  \sqrt{9  \times 5}  +  \sqrt{5}  \\  \\ 2 \sqrt{5}  + 3 \sqrt{5}  +  \sqrt{5}  \\  \\ 6 \sqrt{5}

Answered by Cosmique
2

 \sqrt{20}  +  \sqrt{45}  +  \sqrt{5}  \\  \\  =  \sqrt{4 \times 5}  +  \sqrt{9 \times 5}  +  \sqrt{5 \times 1}  \\  \\ (taking \:  \sqrt{5} common) \\  \\ =   \sqrt{5} (  \: \sqrt{4}  +  \sqrt{9}  +  \sqrt{1}  \: ) \\  \\  =  \sqrt{5} (2 + 3 + 1) \\  \\  = 6 \sqrt{5}

Hence your answer on simplifying will be 6 √5

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