Question

Study the sign of 7√5−3√8 and −7√2+3√8,

Answer 1

To determine the sign of 7√5−3√8 and −7√2+3√8, we need to consider the rules for multiplication and addition/subtraction.

Step-by-step explanation:

To study the sign of 7√5−3√8 and −7√2+3√8, we need to consider the rules for the signs of multiplication and addition/subtraction.

Multiplication:

• When two positive numbers multiply, the answer has a positive sign.
• When two negative numbers multiply, the answer has a positive sign.
• When the two numbers multiplied have opposite signs, the answer has a negative sign.

Addition/Subtraction:

• When two positive numbers add, the answer has a positive sign.
• When two negative numbers add, the answer has a negative sign.
• When two numbers with opposite signs add, subtract the smaller number from the larger number, and the answer has the sign of the larger number.

Using these rules, we can evaluate the signs of the given expressions step by step.

The sign of 7√5−3√8 is negative.

The sign of −7√2+3√8 is positive.