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Surds and Indices
(25)7.5 x (5)2.5 ÷ (125)1.5 = 5?
8.5
13
16
17.5
None of these
Correct Answer:
13
Explanation:
Let (25)
7.5
x (5)
2.5
÷ (125)
1.5
= 5
x
Then,
(5
2
)
7.5
x (5)
2.5
= 5
x
(5
3
)
1.5
⟹
5
(2 x 7.5)
x 5
2.5
= 5
x
5
(3 x 1.5)
⟹
5
15
x 5
2.5
= 5
x
5
4.5
⟹ 5
x
= 5
(15 + 2.5 - 4.5)
⟹ 5
x
= 5
13
∴
x
= 13.
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