Question

locate root 10 on the number line

Answer 1

Heya , here .

Solution is here
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We write 10 as the sum of the square of two natural numbers.

10 = 9 + 1 = 3^2 + 1^2

Take OB = 3 units , perpendicular to OA . Join OB

Now , by Pythagoras theorem ,
OB^2 = OA^2 + AB^2
OB^2 = 1^2 + 3^2 =10

=> OB = √10

Taking O as a centre and OB as a radius , draw an arc which intersects the number line
at point C.

clearly C corresponds to √10 on the number line .
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$hope \: \: its \: \: helps \: \: you \:$
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Answer 2

please go through the image i attached