Question

compare the surds 6√2 & 5√5 ​

Answer 1

Answer:

6√2 < 5√5

Step-by-step explanation:

Compare 6√2 and 5√5 :

Solution :

   6√2 and 5√5

   = √2 x 6 x 6 ; √5 x 5 x 5

   = √36 x 2 ; √25 x 5

   = √72 ; √125

   = 72 < 125

Therefore, 6√2 < 5√5.

Answer 2

SOLUTION

TO DETERMINE

Compare the surds 6√2 & 5√5

EVALUATION

Here the given surds are 6√2 & 5√5

Now

$\sf{6 \sqrt{2} = \sqrt{6 \times 6 \times 2} = \sqrt{72} }$

$\sf{5\sqrt{5} = \sqrt{5 \times 5 \times 5} = \sqrt{125} }$

Now we have

$\sf{72 < 125 }$

$\sf{ \implies \: \sqrt{ 72 }< \sqrt{ 125 }}$

$\sf{ \implies \: 6 \sqrt{ 2 }< 5 \sqrt{ 5 }}$

FINAL ANSWER

$\sf{ \: 6 \sqrt{ 2 }< 5 \sqrt{ 5 }}$

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