Insert the correct operations (in order) to make the statement true: √100 * √16 * √225 * √1

Introduction / Context:We must choose, in order, three operations to replace the asterisks so that the resulting numerical statement is true.

Given Data / Assumptions:

• √100 = 10, √16 = 4, √225 = 15, √1 = 1.
• Options give the operations to insert for the 1st, 2nd, and 3rd “*”.

Concept / Approach:Test each option quickly by substitution and normal evaluation.

Step-by-Step Solution: Option (b): 10 + 4 = 15 − 1 ⇒ 14 = 14 (true). Option (a): 10 × 4 = 15 + 1 ⇒ 40 = 16 (false). Option (c): 10 + 4 = 15 × 1 ⇒ 14 = 15 (false). Option (d): 10 − 4 × 15 = 1 ⇒ 10 − 60 = 1 (false).

Verification / Alternative check:Compute square roots first, then apply indicated operations; only (b) balances.

Why Other Options Are Wrong:They produce unequal LHS/RHS values.

Common Pitfalls:Altering the order of chosen operations or mis-evaluating square roots.

Final Answer:+, =, -