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Simplify : 5√45 + 3√20 - 4√5 pls solve

1 Answer

3 votes

Answer:

17
√(5)

Explanation:

using the rule of radicals


√(ab)
√(a) ×
√(b)

simplifying the given radicals


√(45)

=
√(9(5))

=
√(9) ×
√(5)

= 3
√(5)

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


√(20)

=
√(4(5))

=
√(4) ×
√(5)

= 2
√(5)

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

Then

5
√(45) + 3
√(20) - 4
√(5)

= 5(3
√(5)) + 3(2
√(5)) - 4
√(5)

= 15
√(5) + 6
√(5) - 4
√(5) ← collect like radicals

= 21
√(5) - 4
√(5)

= 17
√(5)

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