Question

simplify: √72÷5√72+3√288-2√648

Answer 1

Hey Dear,

◆ Answer -

√72/5√72 + 3√288 - 2√648 = 1/5 + 72√2

● Explaination -

Let's take it step-by-step -

√72/5√72 + 3√288 - 2√648 = 1/5 + 3√288 + 2√648

√72/5√72 + 3√288 - 2√648 = 1/5 + 3√(4×4×9×2) + 2√(4×9×9×2)

√72/5√72 + 3√288 - 2√648 = 1/5 + 2×2×3×3√2 + 2×3×3×2√2

√72/5√72 + 3√288 - 2√648 = 1/5 + 36√2 + 36√2

√72/5√72 + 3√288 - 2√648 = 1/5 + 72√2

Therefore,

√72/5√72 + 3√288 - 2√648 = 1/5 + 72√2

Thanks dear...

Answer 2

Answer:

√72/ 5 √72 + 3 √288 - 2 √648

= √2x2x2x3x3 / 5 √2x2x2x3x3 + 3√2x2x2x2x2x3x3 - 2 √2x2x2x3x3x3x3

= 2x3√2 / 5x2x3 √2 + 3 x 2x2x3 √2 - 2x2x3x3 √2

= 6√2 / 30√2 +36 √2 -36 √2

= 6 √2 / 30 √2

= 1/5 is the answer

Step-by-step explanation: