Question

Given that √5 = 2.24 and √50= 7.07 , find
√500 and √0.5

Answer 1

see explanation

Explanation:

using the rules of radicals

`√(a)` ×
`√(b)` ⇔
`√(ab)`

`\sqrt{(a)/(b) }` ⇔
`(√(a) )/(√(b) )`

then

`√(500)`

=
`√(100(5))`

=
`√(100)` ×
`√(5)`

= 10 × 2.24

= 22.4

-------------------------------

`√(0.5)`

=
`\sqrt{(50)/(100) }`

=
`(√(50) )/(√(100) )`

=
`(√(50) )/(10)`

=
`(7.07)/(10)`

= 0.707