Three times the square root of 2 equals the square root of the sum of some number and 8. Find the number.

Question

asked Oct 18, 2024 112k views

1 Answer

BRAHIM Kamel · Answer 1 · 2024-10-22T08:57:52+0000

Answer:

10

Explanation:

You want a number such that the square root of the sum of it and 8 is 3 times the square root of 2.

The relation in the problem statement is ...

√(x +8) = 3√2

Squaring both sides, we have ...

x +8 = 3²·2 = 18

x = 10 . . . . . . . . . subtract 8

The number is 10.

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