Question

how to represent root 40 on number line

Answer 1

Heya

∆ Firstly, simplification √√

$\sqrt{40} = \sqrt{( {2}^{2} \times 10) } = 2 \sqrt{10}$

∆ Now, 2√10 is two times √10

-> So, we basically mark √10 successively 2 times on the number line starting from 0

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∆ Making √10 ->

${3}^{2} + {1}^{2} = { \sqrt{10} }^{2}$

● Hence, starting from 0, take 3 units

● Draw a perpendicular and draw 1 unit along y-axis

● Join 0 to the top-most point

Hence, by Pythagoras, you have the hypotenuse as √10

◆ Now, take √10 as radius and make an arc.

Again draw a successive arc, to increase it one more time

Hence, you made √10 two times consecutively or say, you made 2√10 = √40

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Hope it helps

Answer 2

Hi this is your answer hope it helps you